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10000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn24\insrsid13464150 {\pict{\*\picprop\shplid1044{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1870\pich1094\picwgoal1060\pichgoal620\wmetafile8\bliptag-1437784533\blipupi-1722{\*\blipuid aa4d262b6cd3647a9b278f02335ce44e}
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;   d)  }{\pard\plain \ql \li0\ri0\widctlpar\brdrt\brdrsh\brdrs\brdrw15\brsp20 \brdrl\brdrsh\brdrs\brdrw15\brsp20 \brdrb\brdrsh\brdrs\brdrw15\brsp20 \brdrr\brdrsh\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
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000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn24\insrsid13464150 {\pict{\*\picprop\shplid1045{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1834\pich1164\picwgoal1040\pichgoal660\wmetafile8\bliptag-326789927\blipupi-1675{\*\blipuid ec8594d98048f9151a45386200cbfdda}
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00009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320ac6039502010000002d0008000000320ab401e7020100
00002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f00102000800
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00000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320ac6037f0301000000310008000000320ab401
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020008000000320a080110020100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\b\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n:
\par }{\f0\fs24\insrsid13464150 a) La primera es inmediata ya que el numerador es exactamente la de\-rivada del denominador, por tanto,
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw3200\objh700{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e33000000000000000000c0000000
02010101000a010315020001030e00000102883212837802862b0288310001128378030f02000b01000102883200000a02862b12837802862d028836000012836412837802863d12834c0304000001128378030f02000b01000102883200000a02862b12837802862d028836000296610296620002862b128343000b0100
01000d0286f2000000ffffffffffffffffffffffffffffffffffffffffffffffffff000000000000000000000000000000000000000000000000000000001300000101050000050000000d0000004d45544146494c4550494354000c1600002dfbffff9c03000008000c16d3040000
010009000003ca0100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02600400141200000026060f001a00ffffffff000010000000c0ffffffb2ffffffc0130000120400000b0000002606
0f000c004d617468547970650000000109000000fa02000001000000000000002200040000002d01000005000000140200028e0105000000130200024c07050000001402e900780b0500000013021703780b050000001402e9003e1105000000130217033e1110000000fb02c0fd00000000000090010000000200020010
53796d626f6c0002040000002d01010008000000320aea02400001000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a60029811010000002b0008000000320a6002640f010000002d0008000000320a6002480d01000000
2b0008000000320a60025609010000003d0008000000320a86037005010000002d0008000000320a86035403010000002b0008000000320a74018e04010000002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f00102000800
0000320a6002a61201000000430008000000320a6002740e01000000780008000000320a6002ae0b01000000780008000000320a60028e0a010000004c0008000000320a60028e0702000000647808000000320a8603800401000000780008000000320a8603ba0101000000780008000000320a74019e03010000007800
15000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320a6002721001000000360008000000320a86037e0601000000360008000000320a74017e0501000000310008000000320a7401c60201000000320015000000
fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ab401710c01000000320008000000320ada027d020100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc0200000000
0102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn32\insrsid13464150 {\pict{\*\picprop\shplid1046{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw5644\pich1235\picwgoal3200\pichgoal700\wmetafile8\bliptag1346049340\blipupi569{\*\blipuid 503b153c3b8d3e70a446925cd5d29e40}
010009000003ca0100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02600400141200000026060f001a00ffffffff000010000000c0ffffffb2ffffffc0130000120400000b00000026060f00
0c004d617468547970650000000109000000fa02000001000000000000002200040000002d01000005000000140200028e0105000000130200024c0705000000
1402e900780b0500000013021703780b050000001402e9003e1105000000130217033e1110000000fb02c0fd0000000000009001000000020002001053796d62
6f6c0002040000002d01010008000000320aea02400001000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c000204000000
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fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a6002a612
01000000430008000000320a6002740e01000000780008000000320a6002ae0b01000000780008000000320a60028e0a010000004c0008000000320a60028e07
02000000647808000000320a8603800401000000780008000000320a8603ba0101000000780008000000320a74019e0301000000780015000000fb0280fe0000
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000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ab401710c01000000320008000000320a
da027d020100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 
\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par b) La segunda se resuelve buscando la derivada del denominador:
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw5621\objh700{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000020010000
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0f01ffff000000000000000000000000000000000000000000000000000000000300dd0001050000050000000d0000004d45544146494c455049435400b92600002dfbffff180500000800b926d3040000
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0f000c004d617468547970650000000109000000fa02000001000000000000002200040000002d01000005000000140200028e0105000000130200020c080500000014020002480b0500000013020002300c0500000014020002c60d05000000130200024414050000001402000280170500000013020002681805000000
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00020002001053796d626f6c0002040000002d01020004000000f001010008000000320a6002bc20010000002b0008000000320a6002881e010000002d0008000000320a6002ac1b010000002d0008000000320a60024e16010000003d0008000000320a86036812010000002d0008000000320a86038c0f010000002d00
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00000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn32\insrsid13464150 {\pict{\*\picprop\shplid1047{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw9913\pich1235\picwgoal5620\pichgoal700\wmetafile8\bliptag-1639043244\blipupi163{\*\blipuid 9e4e2f54fa944abc4baae6778154278e}
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ac1b010000002d0008000000320a60024e16010000003d0008000000320a86036812010000002d0008000000320a86038c0f010000002d0008000000320a7401
0511010000002d0008000000320a6002160a010000003d0008000000320a86033006010000002d0008000000320a86035403010000002d0008000000320a7401
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780008000000320a60024e0802000000647808000000320a8603400501000000780008000000320a8603ba0101000000780008000000320a74019e0301000000
780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000
320a6002961f01000000360008000000320a6002c01c01000000320008000000320a60029218010000002e0008000000320a86039a1701000000320008000000
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320a8603680401000000320008000000320a7401780501000000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f
6d616e000081040000002d01010004000000f001020008000000320ab401d51a01000000320008000000320ada02b50e01000000320008000000320ada027d02
0100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 
\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par c) La tercera la descomponemos en dos integrales:
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw5941\objh700{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000040010000
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32128378000102883102862b128378030f02000b010001028832000000000a12836412837802863d12836112837212836312837412836712837802862b12834c02822802883102862b128378030f02000b01000102883200000a02822902862b128343000b010001000d0286f200000b010001000d0286f200000b010001
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0100090000035c0200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02600420251200000026060f001a00ffffffff000010000000c0ffffffb2ffffffe0240000120400000b0000002606
0f000c004d617468547970650000000109000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002100505000000140200029a090500000013020002000d050000001402000260110500000013020002c61410000000fb02c0fd00000000000090010000000200020010
53796d626f6c0002040000002d01010008000000320aea02400001000000f20008000000320aea024c0801000000f20008000000320aea02121001000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a6002ba2201000000
2b0008000000320a6002701f010000002b0008000000320a60022e1c010000002b0008000000320a6002d016010000003d0008000000320a86032e12010000002b0008000000320a6002f20e010000002b0008000000320a8603680a010000002b0008000000320a60021a07010000003d0008000000320a86036a020100
00002b0008000000320a74015c02010000002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a6002c82301000000430008000000320a60029c2001000000780008000000320a6002541d010000004c00
08000000320a60023e1b01000000780008000000320a6002081502000000647808000000320a86035a1301000000780008000000320a74012b1301000000780008000000320a6002420d02000000647808000000320a8603940b01000000780008000000320a6002520502000000647808000000320a8603960301000000
780008000000320a74014e0401000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320a6002fa2101000000290008000000320a6002921e01000000310008000000320a6002321e0100000028000a00
0000320a6002f6170500000061726374670008000000320a8603501101000000310008000000320a7401531201000000320008000000320a86038a0901000000310008000000320a7401ed0a01000000310008000000320a86038c0101000000310008000000320a7401760301000000320008000000320a74017e010100
0000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ab4015f2101000000320008000000320ada021d1401000000320008000000320ada02570c01000000320008000000320ada025904010000003200
0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn32\insrsid13464150 
{\pict{\*\picprop\shplid1048{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw10478\pich1235\picwgoal5940\pichgoal700\wmetafile8\bliptag-1749189374\blipupi266{\*\blipuid 97bd7d02c65c59e1e70b8ba509b01ac4}
0100090000035c0200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02600420251200000026060f001a00ffffffff000010000000c0ffffffb2ffffffe0240000120400000b00000026060f00
0c004d617468547970650000000109000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002100505000000
140200029a090500000013020002000d050000001402000260110500000013020002c61410000000fb02c0fd0000000000009001000000020002001053796d62
6f6c0002040000002d01010008000000320aea02400001000000f20008000000320aea024c0801000000f20008000000320aea02121001000000f20010000000
fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a6002ba22010000002b0008000000
320a6002701f010000002b0008000000320a60022e1c010000002b0008000000320a6002d016010000003d0008000000320a86032e12010000002b0008000000
320a6002f20e010000002b0008000000320a8603680a010000002b0008000000320a60021a07010000003d0008000000320a86036a02010000002b0008000000
320a74015c02010000002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d0101000400
0000f001020008000000320a6002c82301000000430008000000320a60029c2001000000780008000000320a6002541d010000004c0008000000320a60023e1b
01000000780008000000320a6002081502000000647808000000320a86035a1301000000780008000000320a74012b1301000000780008000000320a6002420d
02000000647808000000320a8603940b01000000780008000000320a6002520502000000647808000000320a8603960301000000780008000000320a74014e04
01000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f0010100
08000000320a6002fa2101000000290008000000320a6002921e01000000310008000000320a6002321e0100000028000a000000320a6002f617050000006172
6374670008000000320a8603501101000000310008000000320a7401531201000000320008000000320a86038a0901000000310008000000320a7401ed0a0100
0000310008000000320a86038c0101000000310008000000320a7401760301000000320008000000320a74017e0101000000310015000000fb0220ff00000000
00009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ab4015f210100000032000800
0000320ada021d1401000000320008000000320ada02570c01000000320008000000320ada0259040100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{
\f0\fs24\insrsid13464150 
\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par d) La cuarta se resuelve realizando previamente la divisi\'f3n. Y podemos realizarla por Ruffini
\par Hecha la divisi\'f3n se obtiene de cociente x+1 y de resto 2
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw5201\objh680{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000000010000
02010101000a010315020001030e000001128378030f02000b01000102883200000a02862b028831000112837802862d028831000012836412837802863d031502000102822812837802862b02883102862b030e000001028832000112837802862d028831000002822912836412837802863d030e000001128378030f02
000b0100010288320000000a01028832000002862b12837802862b02883212834c030400000112837802862d028831000296610296620002862b128343000b010001000d0286f200000b010001000d0286f2000000ffffff81c0ffffffffffff81c000000000000000000000000000000000000000000000000000000000
0000000001050000050000000d0000004d45544146494c455049435400d423000051fbffffa40400000800d423af040000
0100090000034e0200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02400480201200000026060f001a00ffffffff000010000000c0ffffffb5ffffff40200000f50300000b0000002606
0f000c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140260028e010500000013026002f4040500000014026002ec0d0500000013026002a210050000001402600238140500000013026002d0150500000014027a01101b0500000013024603101b05000000
14027a01ce1d0500000013024603ce1d10000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320a4a03400001000000f20008000000320a4a03300801000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01
020004000000f001010008000000320ac002281e010000002b0008000000320ac002361c010000002d0008000000320ac0023a18010000002b0008000000320ac0021e16010000002b0008000000320ac0020613010000003d0008000000320ae603080f010000002d0008000000320ac002cc0c010000002b0008000000
320ac002fe0a010000002b0008000000320ac002fe06010000003d0008000000320ae6030203010000002d0008000000320aa2015403010000002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ac002
361f01000000430008000000320ac002461b01000000780008000000320ac002261a010000004c0008000000320ac0024a1701000000780008000000320aa201641401000000780008000000320ac0023e1102000000647808000000320ae603180e01000000780008000000320ac0020e0a01000000780008000000320a
c002360502000000647808000000320ae603120201000000780008000000320aa201ba0101000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320ac002201d01000000310008000000320ac0025419
01000000320008000000320ae603aa1401000000320008000000320ac002b41001000000290008000000320ae603f20f01000000310008000000320ad401ed0e01000000320008000000320ac002ee0b01000000310008000000320ac002720901000000280008000000320ae603ec0301000000310008000000320aa201
440401000000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320af600271501000000320008000000320af6007d020100000032000a00000026060f000a00ffffffff01000000000010000000fb021000
070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn24\insrsid13464150 {\pict{\*\picprop\shplid1049{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw9172\pich1199\picwgoal5200\pichgoal680\wmetafile8\bliptag686137571\blipupi3{\*\blipuid 28e5a0e3c03a327772d7cb1c3424562c}0100090000034e0200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02400480201200000026060f001a00ffffffff000010000000c0ffffffb5ffffff40200000f50300000b00000026060f00
0c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140260028e010500000013026002f40405000000
14026002ec0d0500000013026002a210050000001402600238140500000013026002d0150500000014027a01101b0500000013024603101b0500000014027a01
ce1d0500000013024603ce1d10000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320a4a0340000100
0000f20008000000320a4a03300801000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000
f001010008000000320ac002281e010000002b0008000000320ac002361c010000002d0008000000320ac0023a18010000002b0008000000320ac0021e160100
00002b0008000000320ac0020613010000003d0008000000320ae603080f010000002d0008000000320ac002cc0c010000002b0008000000320ac002fe0a0100
00002b0008000000320ac002fe06010000003d0008000000320ae6030203010000002d0008000000320aa2015403010000002b0015000000fb0280fe00000000
00009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ac002361f0100000043000800
0000320ac002461b01000000780008000000320ac002261a010000004c0008000000320ac0024a1701000000780008000000320aa20164140100000078000800
0000320ac0023e1102000000647808000000320ae603180e01000000780008000000320ac0020e0a01000000780008000000320ac00236050200000064780800
0000320ae603120201000000780008000000320aa201ba0101000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e000081040000002d01020004000000f001010008000000320ac002201d01000000310008000000320ac002541901000000320008000000320ae603
aa1401000000320008000000320ac002b41001000000290008000000320ae603f20f01000000310008000000320ad401ed0e01000000320008000000320ac002
ee0b01000000310008000000320ac002720901000000280008000000320ae603ec0301000000310008000000320aa201440401000000310015000000fb0220ff
0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320af600271501000000
320008000000320af6007d020100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 
\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
3.-Calcula las siguientes integrales:
\par }\pard \qc \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
a) }{\pard\plain \qc \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
\b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw859\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000060000000
02010101000a010315000001128378030f00000b110102883200000a128365030f00000b110112837800000a128364128378000b11110d0286f2000000f20000000000000000000000000000000000000000000000000000000000000000b30001050000050000000d0000004d45544146494c455049435400eb050000
f8fcffff160200000800eb0508030000
010009000003070100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02c00260051200000026060f001a00ffffffff000010000000c0ffffffc0ffffff20050000800200000b0000002606
0f000c004d617468547970650000800010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320a4a02400001000000f20015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000
f001000008000000320ac001b00302000000647808000000320ac0016d0201000000650008000000320ac0012d0101000000780015000000fb0220ff0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a14013403010000007800
15000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a1401f0010100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000
040000002d01000004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn16\insrsid13464150 {\pict{\*\picprop\shplid1050{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}
{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw1515\pich776\picwgoal859\pichgoal440\wmetafile8\bliptag-1677387048\blipupi2305{\*\blipuid 9c051ad899f1e3b8ab1422adcb1af401}
010009000003070100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02c00260051200000026060f001a00ffffffff000010000000c0ffffffc0ffffff20050000800200000b00000026060f00
0c004d617468547970650000800010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320a4a024000
01000000f20015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f0010000
08000000320ac001b00302000000647808000000320ac0016d0201000000650008000000320ac0012d0101000000780015000000fb0220ff0000000000009001
010000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a1401340301000000780015000000fb02
20ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a1401f0010100
000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01000004000000f0010100030000000000}}}}}{\b\i\f0\fs24\insrsid13464150  ;               b)  }{\pard\plain \qc \li0\ri0\widctlpar\brdrt
\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw1280\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000060000000
02010101000a010315000001128378030f00000b110102883200000a12826312826f128273028833128378128364128378000b11110d0286f20000000000000000000000000000000000000000000000000000000000000000000000ffff000001050000050000000d0000004d45544146494c455049435400d2080000
f8fcffff1a0200000800d20808030000
010009000003090100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02c00200081200000026060f001a00ffffffff000010000000c0ffffffc0ffffffc0070000800200000b0000002606
0f000c004d617468547970650000800010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320a4a02400001000000f20015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000
f001000009000000320ac001a905030000007864780008000000320ac0012d0101000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320ac001dd0401000000330009000000320ac001b50203000000
636f730015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a1401f0010100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374
656d0000040000002d01000004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn16\insrsid13464150 {\pict{\*\picprop\shplid1051{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw2258\pich776\picwgoal1280\pichgoal440\wmetafile8\bliptag1652395996\blipupi-1628{\*\blipuid 627d8fdc0d11509976dc678efebc58d8}
010009000003090100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02c00200081200000026060f001a00ffffffff000010000000c0ffffffc0ffffffc0070000800200000b00000026060f00
0c004d617468547970650000800010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320a4a024000
01000000f20015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f0010000
09000000320ac001a905030000007864780008000000320ac0012d0101000000780015000000fb0280fe0000000000009001000000000402001054696d657320
4e657720526f6d616e000081040000002d01000004000000f001010008000000320ac001dd0401000000330009000000320ac001b50203000000636f73001500
0000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a1401
f0010100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01000004000000f0010100030000000000}}}}}{\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n:}{\f0\fs24\insrsid13464150    Las dos se  resuelven aplicando el m\'e9todo de integraci\'f3n por partes dos veces:
\par a) }{\pard\plain \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw859\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
4571756174696f6e2e330000000000000000006000000002010101000a010315000001128378030f00000b110102883200000a128365030f00000b110112837800000a128364128378000b11110d0286f2000000697a2e00000000000000000000000000000000000000000000000000000000000000000105000005000000
0d0000004d45544146494c455049435400cb050000f8fcffff420400000800cb0508030000
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\par }{\f0\fs24\insrsid13464150 Hacemos nuevamente
\par }{\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1100\objh800{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
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{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw1940\pich1411\picwgoal1100\pichgoal800\wmetafile8\bliptag-601043002\blipupi-1256{\*\blipuid dc2ccfc6c4129e079e00296a8124f90a}
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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }{\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw3081\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
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{\pict{\*\picprop\shplid1060{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par Y volviendo nuevamente a la expresi\'f3n (*)  obtenemos el resultado fi\-nal:
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\par }\pard \qj \li1416\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin1416\itap0 {\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 b) }{\pard\plain \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 
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\f0\fs24\insrsid13464150 . Aplicamos nuevamente el m\'e9todo de integraci\'f3n por partes:
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\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 Soluci\'f3n:
\par }{\f0\fs24\insrsid13464150 Como no puede obtenerse en el numerador la derivada del denomina\-dor, utilizaremos el m\'e9todo de descomposici\'f3n en fracciones simples, ya que el denominador tiene raices reales.
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\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 Como los numeradores son iguales los denominadores tambi\'e9n lo ser\'e1n:
\par }\pard \qc \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\pard\plain \qc \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 
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\picw4302\pich529\picwgoal2439\pichgoal300\wmetafile8\bliptag1661966229\blipupi-164{\*\blipuid 630f9795ad1d2611b01c4462eb80022c}
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050000000b0200000000050000000c02e001400f1200000026060f001a00ffffffff000010000000c0ffffffcdffffff000f0000ad0100000b00000026060f00
0c004d617468547970650000500015000000fb02a0fe0000000000009001000000000402001054696d6573204e657720526f6d616e007e00040000002d010000
08000000320a4001840e01000000290008000000320a4001df0d01000000330008000000320a40017a0b01000000280008000000320a4001d308010000002900
08000000320a4001230801000000320008000000320a4001b30501000000280008000000320a4001c10201000000310008000000320a40013b00010000003200
10000000fb02a0fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f001000008000000320a4001e90c010000002d00
08000000320a40018709010000002b0008000000320a40012207010000002d0008000000320a4001ab03010000003d0008000000320a4001e101010000002b00
15000000fb02a0fe0000000000009001010000000402001054696d6573204e657720526f6d616e007e00040000002d01000004000000f001010008000000320a
4001090c01000000780008000000320a4001980a01000000420008000000320a4001420601000000780008000000320a4001e20401000000410008000000320a
400101010100000078000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d006e040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150 
\par }\pard\plain \s19\qj \li708\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\insrsid13464150 Para x = 3,   7 = A;      Para x = 2,  5 = }{\insrsid13464150 
{\field{\*\fldinst SYMBOL 45 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\insrsid13464150  B
\par }\pard\plain \qj \li708\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \f36\fs20\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\f0\fs24\insrsid13464150 (A x se le han dado los valores de las raices del denominador.).

\par  Ahora procedemos de la siguiente manera:
\par }\pard \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 I=}{\pard\plain \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 
\fs24\lang2057\langfe3082\cgrid\langnp2057\langfenp3082 {\object\objemb\objw4141\objh620{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e33000000000000000000e0000000
02010101000a010315020001030e00000102883212837802862b0288310001128378030f00000b110102883200000a02862d02883512837802862b028836000012836412837802863d0315020001030e000001028837000112837802862d028833000012836412837802862b0315020001030e00000102862d0288350001
12837802862d028832000012836412837802863d000b010001000d0286f200000b010001000d0286f200000b010001000d0286f2000000fffffff1c6bf87ffffffff00000000000000000000000000000000000000000000000000000000ffffffff01050000050000000d0000004d45544146494c455049435400871c0000
bafbffff0c0400000800871c46040000
010009000003020200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02e003e0191200000026060f001a00ffffffff000010000000c0ffffffb2ffffffa0190000920300000b0000002606
0f000c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002000805000000140200028a0c0500000013020002700f0500000014020002d0130500000013020002ce1610000000fb02c0fd00000000000090010000000200020010
53796d626f6c0002040000002d01010008000000320aea02400001000000f20008000000320aea023c0b01000000f20008000000320aea02821201000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a6002d81801000000
3d0008000000320a8603ec14010000002d0008000000320a74017414010000002d0008000000320a60026211010000002b0008000000320a8603a60d010000002d0008000000320a60020a0a010000003d0008000000320a86031e06010000002b0008000000320a86035403010000002d0008000000320a7401e8040100
00002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a6002101702000000647808000000320a8603fc1301000000780008000000320a6002b20f02000000647808000000320a8603b60c010000007800
08000000320a6002420802000000647808000000320a86032e0501000000780008000000320a8603ba0101000000780008000000320a7401f80301000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000
320a8603001601000000320008000000320a74017c1501000000350008000000320a8603ae0e01000000330008000000320a74019d0d01000000370008000000320a8603320701000000360008000000320a86035c0401000000350008000000320a7401d80501000000310008000000320a740120030100000032001500
0000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ada027d020100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d00000400
00002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn24\insrsid13464150 {\pict{\*\picprop\shplid1075{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}
{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw7303\pich1094\picwgoal4140\pichgoal620\wmetafile8\bliptag-1578279754\blipupi-537{\*\blipuid a1ed5cb6d1a3cd183da7d4829570e004}
010009000003020200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02e003e0191200000026060f001a00ffffffff000010000000c0ffffffb2ffffffa0190000920300000b00000026060f00
0c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002000805000000
140200028a0c0500000013020002700f0500000014020002d0130500000013020002ce1610000000fb02c0fd0000000000009001000000020002001053796d62
6f6c0002040000002d01010008000000320aea02400001000000f20008000000320aea023c0b01000000f20008000000320aea02821201000000f20010000000
fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a6002d818010000003d0008000000
320a8603ec14010000002d0008000000320a74017414010000002d0008000000320a60026211010000002b0008000000320a8603a60d010000002d0008000000
320a60020a0a010000003d0008000000320a86031e06010000002b0008000000320a86035403010000002d0008000000320a7401e804010000002b0015000000
fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a60021017
02000000647808000000320a8603fc1301000000780008000000320a6002b20f02000000647808000000320a8603b60c01000000780008000000320a60024208
02000000647808000000320a86032e0501000000780008000000320a8603ba0101000000780008000000320a7401f80301000000780015000000fb0280fe0000
000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320a86030016010000003200
08000000320a74017c1501000000350008000000320a8603ae0e01000000330008000000320a74019d0d01000000370008000000320a86033207010000003600
08000000320a86035c0401000000350008000000320a7401d80501000000310008000000320a7401200301000000320015000000fb0220ff0000000000009001
000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ada027d020100000032000a0000002606
0f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 7L}{\field\flddirty{\*\fldinst {
\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 SYMBOL 244 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 x-3}{\field\flddirty{\*\fldinst {\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 SYMBOL 244 \\
f "Symbol"}}{\fldrslt }}{\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 -5L}{\field\flddirty{\*\fldinst {\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 SYMBOL 244 \\f "Symbol"}}{\fldrslt }}{
\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 x-2}{\field\flddirty{\*\fldinst {\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 SYMBOL 244 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\lang2057\langfe3082\langnp2057\insrsid13464150 
\par 
\par 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
5.-Calcula por el m\'e9todo m\'e1s adecuado las siguientes integrales:
\par a)  }{\pard\plain \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
\b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1260\objh660{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000080000000
02010101000a010315000001030e000001028831000102822812837802862d028831028229030f00000b1101028832000000000a12836412837802823b000b11110d0286f2000000ffffffffffffffffffc7ffffffffffffffc7ffffffffffff000000000000000000000000000000000000000000000000000000000000
000001050000050000000d0000004d45544146494c455049435400af08000074fbffffb40200000800af088c040000
010009000003560100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c022004e0071200000026060f001a00ffffffff000010000000c0ffffffb2ffffffa0070000d20300000b0000002606
0f000c004d617468547970650000e00009000000fa02000001000000000000002200040000002d010000050000001402000221010500000013020002890510000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320aea02400001000000f20010000000fb0280fe
0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a8603c102010000002d0015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a600233070100
00003b0008000000320a86034d0401000000290008000000320a8603ab0301000000310008000000320a8603350101000000280008000000320a7401f50201000000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f0010100
08000000320ada02e00401000000320015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a6002cb0502000000647808000000320a8603d1010100000078000a00000026060f000a00ffffffff010000000000
10000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn28\insrsid13464150 {\pict{\*\picprop\shplid1076{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw2223\pich1164\picwgoal1260\pichgoal660\wmetafile8\bliptag-2108601073\blipupi-1219{\*\blipuid 82514d0f2600946a8943316e83a0f38d}
010009000003560100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c022004e0071200000026060f001a00ffffffff000010000000c0ffffffb2ffffffa0070000d20300000b00000026060f00
0c004d617468547970650000e00009000000fa02000001000000000000002200040000002d010000050000001402000221010500000013020002890510000000
fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320aea02400001000000f20010000000fb0280fe00000000
00009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a8603c102010000002d0015000000fb0280fe00000000
00009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a60023307010000003b000800
0000320a86034d0401000000290008000000320a8603ab0301000000310008000000320a8603350101000000280008000000320a7401f5020100000031001500
0000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320ada02
e00401000000320015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001
020008000000320a6002cb0502000000647808000000320a8603d1010100000078000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\b\i\f0\fs24\insrsid13464150 
                    b)  }{\pard\plain \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
\b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1700\objh620{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000080000000
02010101000a010315020001030e00000112837802862d0288310001028833128378030f00000b110102883200000a02862d02883612837802862b0288350000128364128378000b010001000d0286f200000080fe27ff83fe27ff00fe27ff0300000000000000000000000000000000000000000000000000000000fe7f
fe7f01050000050000000d0000004d45544146494c455049435400b70b0000bafbffffe40200000800b70b46040000
0100090000036e0100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02e003a00a1200000026060f001a00ffffffff000010000000c0ffffffb2ffffff600a0000920300000b0000002606
0f000c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002ae0810000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320aea02400001000000f20010000000fb0280fe
0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a8603d806010000002b0008000000320a86030204010000002d0008000000320a7401df04010000002d0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e000081040000002d01010004000000f001020008000000320a6002f00802000000647808000000320a8603e80501000000780008000000320a8603680201000000780008000000320a7401ef0301000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081
040000002d01020004000000f001010008000000320a8603e60701000000350008000000320a8603100501000000360008000000320a86039c0101000000330008000000320a7401c90501000000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e00008104000000
2d01010004000000f001020008000000320ada022b030100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn24\insrsid13464150 
{\pict{\*\picprop\shplid1077{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw2999\pich1094\picwgoal1700\pichgoal620\wmetafile8\bliptag958307049\blipupi-611{\*\blipuid 391e9ae945ea01f1d682bb24526213b8}
0100090000036e0100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02e003a00a1200000026060f001a00ffffffff000010000000c0ffffffb2ffffff600a0000920300000b00000026060f00
0c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002ae0810000000
fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320aea02400001000000f20010000000fb0280fe00000000
00009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320a8603d806010000002b0008000000320a860302040100
00002d0008000000320a7401df04010000002d0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e0000810400
00002d01010004000000f001020008000000320a6002f00802000000647808000000320a8603e80501000000780008000000320a860368020100000078000800
0000320a7401ef0301000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d010200
04000000f001010008000000320a8603e60701000000350008000000320a8603100501000000360008000000320a86039c0101000000330008000000320a7401
c90501000000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001
020008000000320ada022b030100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\b\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n}{\f0\fs24\insrsid13464150 
\par {\pntext\pard\plain\lang1034\langfe3082\langnp1034\langfenp3082 \hich\af0\dbch\af0\loch\f0 a)\tab}}\pard \qj \fi-360\li360\ri0\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pnlcltr\pnstart1\pnindent360\pnsp120\pnhang {\pntxta )}}
\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin360\itap0 {\f0\fs24\insrsid13464150 La primera la resolvemos por un sencillo cambio de variable: 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par 
\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw5360\objh1040{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000060010000
02010101000a0401010112837802862d02883102863d1283740286de12836412837802863d12836412837400010315020001030e000001028831000102822812837802862d028831028229030f00000b1101028832000000000a12836412837802863d0315020001030e0000010288310001128374030f00000b11010288
32000000000a12836412837402863d0315020001128374030f02000b01000102862d02883200000a12836412837402863d030e000001128374030f00000b110102862d0288310000000a0102862d028831000002863d02862d030e0000010288310001128374000002863d02862d030e000001028831000112837802862d
0288310000000b010001000d0286f200000b010001000d0286f200000b010001000d0286f2000a02862b128343000000ffffcfffffff03ffffff03ffffff03ffffff03ff00000000000000000000000000000000000000000000000000000000811fbfff01050000050000000d0000004d45544146494c455049435400
ee240000d6f8ffff940500000800ee242a070000
010009000003c60200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02800680211200000026060f001a00ffffffff000010000000c0ffffffcaffffff402100004a0600000b0000002606
0f000c004d617468547970650000700109000000fa02000001000000000000002200040000002d01000005000000140259048e010500000013025904f6050500000014025904800a0500000013025904ca0b05000000140259047a1405000000130259042e160500000014025904ce1805000000130259046e1905000000
140259040e1c0500000013025904c41e15000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010008000000320ab904202001000000430008000000320adf053a1c01000000780008000000320adf05dc1801000000740008000000320acd038e140100
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02000000647808000000320a5c013c0401000000740008000000320a5c014c0001000000780010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320ab904121f010000002b0008000000320adf052a1d010000002d0008000000320ab904
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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw9454\pich1834\picwgoal5360\pichgoal1040\wmetafile8\bliptag348485110\blipupi190{\*\blipuid 14c575f66907604e6dd451ea2532f95e}
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\par }{\b\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par b) La segunda es una integral en la que el numerador puede transfor\-marse en la derivada del denominor:
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw5881\objh620{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000020010000
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00000000000000000000000000000000000000000000000000000000000000007ffff7ff01050000050000000d0000004d45544146494c45504943540084280000bafbffff380500000800842846040000
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0f000c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002ae080500000014020002ea0b0500000013020002cc0c0500000014020002620e050000001302000282150500000014020002be180500000013020002a01905000000
1402e900d81a0500000013021703d81a050000001402e90000220500000013021703002215000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010008000000320a6002682301000000430008000000320a60023c1f01000000780008000000320a6002
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320a60028c17010000003d0008000000320a8603ac13010000002b0008000000320a8603d610010000002d0008000000320a7401f211010000002d0008000000320a6002b80a010000003d0008000000320a8603d806010000002b0008000000320a86030204010000002d0008000000320a7401df04010000002d001000
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0000320a7401c90501000000310015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ab4017f1c01000000320008000000320ada02ff0f01000000320008000000320ada022b030100000032000a0000002606
0f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn24\insrsid13464150 
{\pict{\*\picprop\shplid1079{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw10372\pich1094\picwgoal5880\pichgoal620\wmetafile8\bliptag-410750616\blipupi222{\*\blipuid e784716880fc5285b0d3a48abc922980}
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050000000b0200000000050000000c02e003c0241200000026060f001a00ffffffff000010000000c0ffffffb2ffffff80240000920300000b00000026060f00
0c004d617468547970650000c00009000000fa02000001000000000000002200040000002d01000005000000140200028e010500000013020002ae0805000000
14020002ea0b0500000013020002cc0c0500000014020002620e050000001302000282150500000014020002be180500000013020002a019050000001402e900
d81a0500000013021703d81a050000001402e90000220500000013021703002215000000fb0280fe0000000000009001010000000402001054696d6573204e65
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780008000000320a6002ee19010000004c0008000000320a6002c41502000000647808000000320a8603bc1201000000780008000000320a86033c0f01000000
780008000000320a7401021101000000780008000000320a6002f00802000000647808000000320a8603e80501000000780008000000320a8603680201000000
780008000000320a7401ef0301000000780010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001
010008000000320a60025a22010000002b0008000000320a60022c20010000002b0008000000320a6002561d010000002d0008000000320a60028c1701000000
3d0008000000320a8603ac13010000002b0008000000320a8603d610010000002d0008000000320a7401f211010000002d0008000000320a6002b80a01000000
3d0008000000320a8603d806010000002b0008000000320a86030204010000002d0008000000320a7401df04010000002d0010000000fb02c0fd000000000000
9001000000020002001053796d626f6c0002040000002d01010004000000f001020008000000320aea02400001000000f20008000000320aea02140d01000000
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320a7401001301000000360008000000320a74012a1001000000360008000000320a8603fe0b01000000360008000000320a7401fb0b01000000310008000000
320a8603e60701000000350008000000320a8603100501000000360008000000320a86039c0101000000330008000000320a7401c90501000000310015000000
fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ab4017f1c
01000000320008000000320ada02ff0f01000000320008000000320ada022b030100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 

\par 
\par }\pard \qr \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
6.-La funci\'f3n f(x)=2x+5 tiene infinitas primitivas que difieren en una cons\-tante. \'bfCu\'e1l 
\par de estas funciones toma el valor 18 para x=2?
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n:}{\f0\fs24\insrsid13464150 
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw2600\objh560{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000080000000
02010101000a01031502000102822802883212837802862b02883502822902822e12836412837802863d128378030f02000b01000102883200000a02862b02883512837802862b128343000b010001000d0286f2000000fffffcfffffffcffff00000000000000000000000000000000000000000000000000000000494e
535401050000050000000d0000004d45544146494c455049435400ea11000024fcffffe60200000800ea11dc030000
0100090000036f0100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02800340101200000026060f001a00ffffffff000010000000c0ffffffadffffff001000002d0300000b0000002606
0f000c004d617468547970650000b00010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320aaa02400001000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01010004000000f001000008000000320a
2002de0d010000002b0008000000320a20020e0b010000002b0008000000320a20023608010000003d0008000000320a2002d403010000002b0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a2002ec0e
01000000430008000000320a2002ee0c01000000780008000000320a2002740901000000780008000000320a20026e0602000000647808000000320a2002e40201000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001
000008000000320a20021c0c01000000350008000000320a20029c0502000000292e08000000320a2002e20401000000350008000000320a20020c0201000000320008000000320a2002820101000000280015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e0000810400
00002d01000004000000f001010008000000320a7401370a0100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01010004000000f0010000030000000000}{\result {\f0\fs24\dn22\insrsid13464150 
{\pict{\*\picprop\shplid1080{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw4586\pich988\picwgoal2600\pichgoal560\wmetafile8\bliptag-277201934\blipupi163{\*\blipuid ef7a3bf230c689ba7a07555f17cf2629}0100090000036f0100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02800340101200000026060f001a00ffffffff000010000000c0ffffffadffffff001000002d0300000b00000026060f00
0c004d617468547970650000b00010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320aaa024000
01000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01010004000000f001000008000000320a2002de0d
010000002b0008000000320a20020e0b010000002b0008000000320a20023608010000003d0008000000320a2002d403010000002b0015000000fb0280fe0000
000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a2002ec0e010000004300
08000000320a2002ee0c01000000780008000000320a2002740901000000780008000000320a20026e0602000000647808000000320a2002e402010000007800
15000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a
20021c0c01000000350008000000320a20029c0502000000292e08000000320a2002e20401000000350008000000320a20020c0201000000320008000000320a
2002820101000000280015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000
f001010008000000320a7401370a0100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150  Como toma el valor 18 para x=2 re\-
sulta: }{\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw2540\objh320{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
4571756174696f6e2e330000000000000000006000000002010101000a01028832030f00000b110102883200000a02862b02883502822e02883202862b12834302863d0288310288380286de12834302863d028834000000000000000000000000000000000000000000000000000000000000000000000105000005000000
0d0000004d45544146494c45504943540080110000ccfdffff080300000800801134020000
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000000009001000000000002001054696d6573204e657720526f6d616e00f000040000002d0100000700000021050100320000000000050000001402c001e9020700000021050100350000000000050000001402c00109040700000021050100320000000000050000001402c001b6080700000021050200313800000000
050000001402c001f10e07000000210501003400000000000500000014021501e30015000000fb02e0fe0000000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d01010004000000f00100000700000021050100320000000000050000001402c001df0110000000fb0280fe0000
000000009001000000020002001053796d626f6c0000040000002d01000004000000f001010007000000210501002b0000000000050000001402c0010e0507000000210501002b0000000000050000001402c001a00707000000210501003d0000000000050000001402c001790a0700000021050100de00000000000500
00001402c001c30d07000000210501003d0000000000050000001402c001910315000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d01010004000000f001000007000000210501002e0000000000050000001402c001000615000000fb0280fe00000000
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0000f0010000030000000000}{\result {\f0\fs24\dn4\insrsid13464150 {\pict{\*\picprop\shplid1081{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}
{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw4480\pich564\picwgoal2540\pichgoal320\wmetafile8\bliptag1378976271\blipupi-60{\*\blipuid 5231820f633b9ce8f79a415e720faa8f}
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1402c001f10e07000000210501003400000000000500000014021501e30015000000fb02e0fe0000000000009001000000000002001054696d6573204e657720
526f6d616e002b00040000002d01010004000000f00100000700000021050100320000000000050000001402c001df0110000000fb0280fe0000000000009001
000000020002001053796d626f6c0000040000002d01000004000000f001010007000000210501002b0000000000050000001402c0010e050700000021050100
2b0000000000050000001402c001a00707000000210501003d0000000000050000001402c001790a0700000021050100de0000000000050000001402c001c30d
07000000210501003d0000000000050000001402c001910315000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e00
2b00040000002d01010004000000f001000007000000210501002e0000000000050000001402c001000615000000fb0280fe0000000000009001010000000002
001054696d6573204e657720526f6d616e00f000040000002d01000004000000f00101000700000021050100430000000000050000001402c001230c07000000
2105010043000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150 .  La funci\'f3n buscada es:
\par }\pard \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\pard\plain \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw1880\objh360{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000060000000
02010101000a0112834602822812837802822902863d128378030f00000b110102883200000a02862b02883512837802862b028834000002fc79e608fc79e402000000000000000000000000000000000000000000000000000000006602000001050000050000000d0000004d45544146494c455049435400f40c0000
85fdffffd80200000800f40c7b020000
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000000009001010000000002001054696d6573204e657720526f6d616e000100040000002d0100000700000021050100460000000000050000001402c001d0010700000021050100780000000000050000001402c001da040700000021050100780000000000050000001402c00193080700000021050100780000000000
050000001402c001400115000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100280000000000050000001402c001cc020700000021050100290000000000050000001402c001ac0310000000fb0280fe0000
000000009001000000020002001053796d626f6c0000040000002d01000004000000f001010007000000210501003d0000000000050000001402c001d50607000000210501002b0000000000050000001402c001c80907000000210501002b00000000000500000014021501d90515000000fb02e0fe0000000000009001
000000000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100320000000000050000001402c001df0715000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e005379040000002d01000004000000f00101000700
000021050100350000000000050000001402c001de0a070000002105010034000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}{\result {\f0\fs24\dn8\insrsid13464150 
{\pict{\*\picprop\shplid1082{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw3316\pich635\picwgoal1880\pichgoal360\wmetafile8\bliptag-207835608\blipupi-715{\*\blipuid f39cae288185a1f90695fc2c0554b376}
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000000020002001053796d626f6c0000040000002d01000004000000f001010007000000210501003d0000000000050000001402c001d5060700000021050100
2b0000000000050000001402c001c80907000000210501002b00000000000500000014021501d90515000000fb02e0fe00000000000090010000000000020010
54696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100320000000000050000001402c001df0715000000fb02
80fe0000000000009001000000000002001054696d6573204e657720526f6d616e005379040000002d01000004000000f0010100070000002105010035000000
0000050000001402c001de0a070000002105010034000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150 
\par 
\par 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
7.-Halla una funci\'f3n cuya derivada sea }{\pard\plain \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
\b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw2561\objh360{\*\objclass Equation}{\*\objdata 0105000002000000090000004571756174696f6e00000000000000000080000000
02010101000a0112836602822812837802822902863d028834128378030f00000b110102883200000a02862d028837128378030f00000b110102883200000a02862b02883512837802862d0288310000fe1ffe1ffe1ffe1eff1fff1fff1fff1d00000000000000000000000000000000000000000000000000000000ffff
ffff01050000050000000d0000004d45544146494c455049435400a311000085fdffff680300000800a3117b020000
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050000001402c001160d0700000021050100780000000000050000001402c0011c0115000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100280000000000050000001402c001a80207000000210501002900
00000000050000001402c001880310000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01000004000000f001010007000000210501003d0000000000050000001402c0017c0707000000210501002d0000000000050000001402c001580b07000000210501002b00000000000500
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0000050000001402c001620c0700000021050100350000000000050000001402c001470f07000000210501003100000000000500000014021501810615000000fb02e0fe0000000000009001000000000002001054696d6573204e657720526f6d616e007830040000002d01000004000000f00101000700000021050100
32000000000005000000140215015c0a070000002105010032000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000000000000000000000000000000000000000000000000000}{\result {
\b\i\f0\fs24\dn8\insrsid13464150 {\pict{\*\picprop\shplid1083{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw4516\pich635\picwgoal2560\pichgoal360\wmetafile8\bliptag572179573\blipupi-12{\*\blipuid 221ac475d74a757f57e25ed521bafa52}
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000021050100780000000000050000001402c00182050700000021050100780000000000050000001402c0015d09070000002105010078000000000005000000
1402c001160d0700000021050100780000000000050000001402c0011c0115000000fb0280fe0000000000009001000000000002001054696d6573204e657720
526f6d616e000300040000002d01010004000000f00100000700000021050100280000000000050000001402c001a80207000000210501002900000000000500
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3d0000000000050000001402c0017c0707000000210501002d0000000000050000001402c001580b07000000210501002b0000000000050000001402c0014a0e
07000000210501002d0000000000050000001402c001b60415000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e00
0300040000002d01010004000000f00100000700000021050100340000000000050000001402c00191080700000021050100370000000000050000001402c001
620c0700000021050100350000000000050000001402c001470f07000000210501003100000000000500000014021501810615000000fb02e0fe000000000000
9001000000000002001054696d6573204e657720526f6d616e007830040000002d01000004000000f00101000700000021050100320000000000050000001402
15015c0a070000002105010032000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}}}}}{\b\i\f0\fs24\insrsid13464150  y que se anule para x=1}{\i\f0\fs24\insrsid13464150 .
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n:
\par }{\f0\fs24\insrsid13464150 Buscamos la integral indefinida de f(x) que es:
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw4761\objh660{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000000010000
02010101000a010315020001028228028834128378030f02000b01000102883300000a02862d028837128378030f02000b01000102883200000a02862b02883512837802862d02883102822902822e12836412837802863d128378030f02000b01000102883400000a02862d030e000001028837128378030f00000b1101
0288330000000a01028833000002862b030e000001028835128378030f00000b11010288320000000a01028832000002862d12837802862b128343000b010001000d0286f2000000ff1ff78fff0ff78fff0fefc7ff87efc7ff87efc7f847efc7f84700000000000000000000000000000000000000000000000000000000
0000000001050000050000000d0000004d45544146494c455049435400cc20000074fbffff380400000800cc208c040000
010009000003180200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c022004c01d1200000026060f001a00ffffffff000010000000c0ffffffa3ffffff801d0000c30300000b0000002606
0f000c004d617468547970650000c00009000000fa02000001000000000000002200040000002d0100000500000014024002de1205000000130240022e1505000000140240029c160500000013024002e81810000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000
320a2a03400001000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320aa0024c1b010000002b0008000000320aa0023619010000002d0008000000320aa0027c15010000002b0008000000320aa002c411010000002d000800
0000320aa002ec0e010000003d0008000000320aa002c60a010000002d0008000000320aa002f607010000002b0008000000320aa0027004010000002d0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a
a0025a1c01000000430008000000320aa0025c1a01000000780008000000320ab4017c1701000000780008000000320ab401d01301000000780008000000320aa0022a1001000000780008000000320aa002240d02000000647808000000320aa002d60901000000780008000000320aa0025c0601000000780008000000
320aa002e40201000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000320ac603681701000000320008000000320ab401aa1601000000350008000000320ac603ac1301000000330008000000320ab401
f21201000000370008000000320aa002520c02000000292e08000000320aa002b00b01000000310008000000320aa002040901000000350008000000320aa0027e0501000000370008000000320aa0020c0201000000340008000000320aa002820101000000280015000000fb0220ff0000000000009001000000000402
001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a08013f1801000000320008000000320a08018c1401000000330008000000320af401ed1001000000340008000000320af4011f0701000000320008000000320af401a0030100000033000a00000026060f000a00
ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn24\insrsid13464150 {\pict{\*\picprop\shplid1084{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw8396\pich1164\picwgoal4760\pichgoal660\wmetafile8\bliptag1187704455\blipupi-191{\*\blipuid 46caee87914a11d8b92e6972e04d8bc3}
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050000000b0200000000050000000c022004c01d1200000026060f001a00ffffffff000010000000c0ffffffa3ffffff801d0000c30300000b00000026060f00
0c004d617468547970650000c00009000000fa02000001000000000000002200040000002d0100000500000014024002de1205000000130240022e1505000000
140240029c160500000013024002e81810000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320a2a03
400001000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000f001010008000000320aa002
4c1b010000002b0008000000320aa0023619010000002d0008000000320aa0027c15010000002b0008000000320aa002c411010000002d0008000000320aa002
ec0e010000003d0008000000320aa002c60a010000002d0008000000320aa002f607010000002b0008000000320aa0027004010000002d0015000000fb0280fe
0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320aa0025a1c01000000
430008000000320aa0025c1a01000000780008000000320ab4017c1701000000780008000000320ab401d01301000000780008000000320aa0022a1001000000
780008000000320aa002240d02000000647808000000320aa002d60901000000780008000000320aa0025c0601000000780008000000320aa002e40201000000
780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f001010008000000
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320aa002520c02000000292e08000000320aa002b00b01000000310008000000320aa002040901000000350008000000320aa0027e0501000000370008000000
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6d616e000081040000002d01010004000000f001020008000000320a08013f1801000000320008000000320a08018c1401000000330008000000320af401ed10
01000000340008000000320af4011f0701000000320008000000320af401a0030100000033000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 

\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 Como se anula para x=1 tenemos: }{\pard\plain \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 
\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw2580\objh640{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e33000000000000000000a0000000
02010101000a01028831030f02000b01000102883400000a02862d030e00000102883702822e028831030f00000b11010288330000000a01028833000002862b030e00000102883502822e028831030f00000b11010288320000000a01028832000002862d02883102862b12834302863d0288300000e3ffe3ffe3ffe3ff
e3fc000000000000000000000000000000000000000000000000000000004544534501050000050000000d0000004d45544146494c455049435400c711000099fbffffd80300000800c71167040000
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2d0100000500000014023d02c3020500000013023d025b050500000014023d02ce060500000013023d025409050000001402a002fcff15000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d0101000700000021050100310000000000050000001402ad01
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07000000210501003400000000000500000014020201a2040700000021050100330000000000050000001402020189080700000021050100320000000000050000001402a002a20110000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f0010200070000002105
01002d0000000000050000001402a002ac0507000000210501002b0000000000050000001402a002a40907000000210501002d0000000000050000001402a002820b07000000210501002b0000000000050000001402a002140e07000000210501003d0000000000050000001402ad01970315000000fb0280fe00000000
00009001000000000002001054696d6573204e657720526f6d616e005e48040000002d01020004000000f001010007000000210501002e0000000000050000001402ad017e0707000000210501002e0000000000050000001402a002740c15000000fb0280fe0000000000009001010000000002001054696d6573204e65
7720526f6d616e002b00040000002d01010004000000f0010200070000002105010043000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn22\insrsid13464150 
{\pict{\*\picprop\shplid1085{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw4551\pich1129\picwgoal2580\pichgoal640\wmetafile8\bliptag2067042098\blipupi203{\*\blipuid 7b348f32a4a92d3af5e49bcd0c05fc87}
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050000000b0200000000050000000c02000420100b00000026060f000c004d617468547970650000b00008000000fa0200001000000000000000040000002d01
00000500000014023d02c3020500000013023d025b050500000014023d02ce060500000013023d025409050000001402a002fcff15000000fb0280fe00000000
00009001000000000002001054696d6573204e657720526f6d616e002b00040000002d0101000700000021050100310000000000050000001402ad01d7020700
000021050100370000000000050000001402ad01f7030700000021050100310000000000050000001402c903bb03070000002105010033000000000005000000
1402ad01d6060700000021050100350000000000050000001402ad01de070700000021050100310000000000050000001402c903b10707000000210501003200
00000000050000001402a002a10a0700000021050100310000000000050000001402a002420f0700000021050100300000000000050000001402f501a7001500
0000fb02e0fe0000000000009001000000000002001054696d6573204e657720526f6d616e005e48040000002d01020004000000f00101000700000021050100
3400000000000500000014020201a2040700000021050100330000000000050000001402020189080700000021050100320000000000050000001402a002a201
10000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f001020007000000210501002d00000000000500
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2b0000000000050000001402a002140e07000000210501003d0000000000050000001402ad01970315000000fb0280fe00000000000090010000000000020010
54696d6573204e657720526f6d616e005e48040000002d01020004000000f001010007000000210501002e0000000000050000001402ad017e07070000002105
01002e0000000000050000001402a002740c15000000fb0280fe0000000000009001010000000002001054696d6573204e657720526f6d616e002b0004000000
2d01010004000000f0010200070000002105010043000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par y se obtiene que C= - 1/6, por tanto, la funci\'f3n buscada es
\par }\pard \qj \li2832\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin2832\itap0 {\pard\plain \qj \li2832\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin2832\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
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00000102022253797374656d0006040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn22\insrsid13464150 {\pict{\*\picprop\shplid1086{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\f0\fs24\insrsid13464150 
\par }\pard \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
8.-Halla la funci\'f3n G tal que G"(x)=6x+1; G(0)=1 y G(1)=0}{\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 Soluci\'f3n:
\par }{\f0\fs24\insrsid13464150 Nos dan la segunda derivada por lo que tenemos que integrar dos ve\-ces:}{\f0\fs24\ul\insrsid13464150 
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\f0\fs24\ul\insrsid13464150 
\par }{\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw3180\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
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ffff000000000000000000000000000000000000000000000000000000000000000001050000050000000d0000004d45544146494c455049435400e9150000f8fcffff460300000800e91508030000
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0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01010004000000f0010000030000000000}{\result {\f0\fs24\dn16\insrsid13464150 
{\pict{\*\picprop\shplid1087{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw5609\pich776\picwgoal3180\pichgoal440\wmetafile8\bliptag206541711\blipupi435{\*\blipuid 0c4f938fb53f4f7ec8167e931b3e9d40}0100090000039f0100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
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}}}{\f0\fs24\ul\insrsid13464150 
\par }{\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw4361\objh620{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
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{\pict{\*\picprop\shplid1088{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw7691\pich1094\picwgoal4360\pichgoal620\wmetafile8\bliptag1507694217\blipupi-412{\*\blipuid 59dd9689418a55b57a1f9310717c5a46}
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\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 De G(0)=1 resulta: D=1 , (despu\'e9s de sustituir la x por 0.)
\par }\pard\plain \s20\qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\insrsid13464150 De G(1)=0 obtenemos: 1+1/2+C+1=0 ,(despu\'e9
s de sustituir la x por 1) por lo que
\par  C = -5/2.
\par }\pard\plain \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \f36\fs20\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\f0\fs24\insrsid13464150 La funci\'f3n que buscamos es la siguiente: }{\pard\plain 
\qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw2600\objh580{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
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07000000210501002b00000000000500000014029501d90515000000fb02e0fe0000000000009001000000000002001054696d6573204e657720526f6d616e00
2b00040000002d01020004000000f001010007000000210501003300000000000500000014029501080a07000000210501003200000000000500000014024d01
ff0715000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e00f000040000002d01010004000000f001020007000000
210501003100000000000500000014026903f90707000000210501003200000000000500000014024d013e0c0700000021050100350000000000050000001402
6903380c070000002105010032000000000005000000140240027b0f070000002105010031000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 
\par 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
9.-Dada la funci\'f3n f(x)=6x halla la primitiva que pasa por el punto A(1,2).
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 Soluci\'f3n:}{\f0\fs24\insrsid13464150     Hallamos la integral indefinida: }{\pard\plain \qj \li0\ri0\sl360\slmult1
\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1640\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e33000000000000000000
6000000002010101000a010315000001028836128378128364128378000b11110d0286f2000a02863d028833128378030f00000b110102883200000a02862b1283430000000000000000000000000000000000000000000000000000000000000000000001050000050000000d0000004d45544146494c455049435400
4d0b0000f8fcffff7802000008004d0b08030000
010009000003380100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02c002400a1200000026060f001a00ffffffff000010000000c0ffffffc0ffffff000a0000800200000b0000002606
0f000c004d617468547970650000800015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01000008000000320ac001f10801000000430008000000320ac001490601000000780009000000320ac001ed01030000007864780010000000fb0280fe0000
000000009001000000020002001053796d626f6c0002040000002d01010004000000f001000008000000320ac001e307010000002b0008000000320ac0015d04010000003d0010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000004000000f001010008000000320a4a02
400001000000f20015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a14010c0701000000320015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e0000810400
00002d01000004000000f001010008000000320ac0017d0501000000330008000000320ac00115010100000036000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01010004000000f0010000030000000000}{\result {
\f0\fs24\dn16\insrsid13464150 {\pict{\*\picprop\shplid1090{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}
{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw2893\pich776\picwgoal1640\pichgoal440\wmetafile8\bliptag1398000236\blipupi-948{\*\blipuid 5353ca6c637cfde34942965808a66658}
010009000003380100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02c002400a1200000026060f001a00ffffffff000010000000c0ffffffc0ffffff000a0000800200000b00000026060f00
0c004d617468547970650000800015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d010000
08000000320ac001f10801000000430008000000320ac001490601000000780009000000320ac001ed01030000007864780010000000fb0280fe000000000000
9001000000020002001053796d626f6c0002040000002d01010004000000f001000008000000320ac001e307010000002b0008000000320ac0015d0401000000
3d0010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000004000000f001010008000000320a4a02400001000000
f20015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000
320a14010c0701000000320015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d0100000400
0000f001010008000000320ac0017d0501000000330008000000320ac00115010100000036000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150 

\par que es el conjunto de todas sus primitivas.
\par Ahora buscamos la que pasa por el punto (1,2):
\par }\pard \ql \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\pard\plain \ql \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 
{\object\objemb\objw1180\objh300{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000060000000
02010101000a0102883302822e028831030f00000b110102883200000a02862b12834302863d0288320000fffff8fbffff821bffff821bffff821bffff821bff00000000000000000000000000000000000000000000000000000000ffff800001050000050000000d0000004d45544146494c45504943540021080000
effdffff780200000800210811020000
010009000003380100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01190005000000310201000000050000000b0200000000050000000c02e00160070b00000026060f000c004d6174685479706500001000050000001402c001140015000000fb0280fe0000
000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d0100000700000021050100330000000000050000001402c0011c010700000021050100310000000000050000001402c001830607000000210501003200000000000500000014021501c70115000000fb02e0fe000000000000
9001000000000002001054696d6573204e657720526f6d616e00fe08040000002d01010004000000f00100000700000021050100320000000000050000001402c001bc0015000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d01000004000000f0010100
07000000210501002e0000000000050000001402c001c30210000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f001000007000000210501002b0000000000050000001402c001550507000000210501003d0000000000050000001402c001b50315000000fb02
80fe0000000000009001010000000002001054696d6573204e657720526f6d616e002b00040000002d01000004000000f0010100070000002105010043000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}{\result {
\f0\fs24\dn2\insrsid13464150 {\pict{\*\picprop\shplid1091{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw2081\pich529\picwgoal1180\pichgoal300\wmetafile8\bliptag1343326737\blipupi-2266{\*\blipuid 50118a1178835525f66520463db0d788}
010009000003380100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01190005000000310201000000
050000000b0200000000050000000c02e00160070b00000026060f000c004d6174685479706500001000050000001402c001140015000000fb0280fe00000000
00009001000000000002001054696d6573204e657720526f6d616e002b00040000002d0100000700000021050100330000000000050000001402c0011c010700
000021050100310000000000050000001402c001830607000000210501003200000000000500000014021501c70115000000fb02e0fe00000000000090010000
00000002001054696d6573204e657720526f6d616e00fe08040000002d01010004000000f00100000700000021050100320000000000050000001402c001bc00
15000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d01000004000000f0010100070000002105
01002e0000000000050000001402c001c30210000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f001
000007000000210501002b0000000000050000001402c001550507000000210501003d0000000000050000001402c001b50315000000fb0280fe000000000000
9001010000000002001054696d6573204e657720526f6d616e002b00040000002d01000004000000f0010100070000002105010043000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150 
    lo que indica que C= }{\f0\fs24\insrsid13464150 {\field{\*\fldinst SYMBOL 45 \\f "Symbol" \\s 12}{\fldrslt\f3\fs24}}}{\f0\fs24\insrsid13464150 1, por tanto, la primitiva busca\-da es }{\pard\plain \ql \li0\ri0\sl360\slmult1
\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1480\objh360{\*\objclass Equation}{\*\objdata 0105000002000000090000004571756174696f6e00000000000000000060000000
02010101000a0112834602822812837802822902863d028833128378030f00000b110102883200000a02862d02883100000fe780ff0fe780ff0fe780ff0fe780000000000000000000000000000000000000000000000000000000002b00040001050000050000000d0000004d45544146494c455049435400320a0000
85fdffffc80200000800320a7b020000
010009000003500100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01190005000000310201000000050000000b0200000000050000000c02400240090b00000026060f000c004d6174685479706500004000050000001402c001140015000000fb0280fe0000
000000009001010000000002001054696d6573204e657720526f6d616e002b00040000002d0100000700000021050100460000000000050000001402c001d0010700000021050100780000000000050000001402c0018e050700000021050100780000000000050000001402c001400115000000fb0280fe000000000000
9001000000000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100280000000000050000001402c001cc020700000021050100290000000000050000001402c001ac0310000000fb0280fe0000000000009001000000020002001053796d626f6c00000400
00002d01000004000000f001010007000000210501003d0000000000050000001402c001880707000000210501002d0000000000050000001402c001da0415000000fb0280fe0000000000009001000000000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f0010000070000002105
0100330000000000050000001402c0018508070000002105010031000000000005000000140215018d0615000000fb02e0fe0000000000009001000000000002001054696d6573204e657720526f6d616e002b00040000002d01000004000000f0010100070000002105010032000000000010000000fb02100007000000
0000bc02000000000102022253797374656d0006040000002d01010004000000f00100000300000000000000000000000000000000000000000000000000000000000000000000000000}{\result {\f0\fs24\dn8\insrsid13464150 
{\pict{\*\picprop\shplid1092{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw2611\pich635\picwgoal1480\pichgoal360\wmetafile8\bliptag206077151\blipupi-1372{\*\blipuid 0c487cdfdfa96dae04528c0ceec82a94}
010009000003500100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01190005000000310201000000
050000000b0200000000050000000c02400240090b00000026060f000c004d6174685479706500004000050000001402c001140015000000fb0280fe00000000
00009001010000000002001054696d6573204e657720526f6d616e002b00040000002d0100000700000021050100460000000000050000001402c001d0010700
000021050100780000000000050000001402c0018e050700000021050100780000000000050000001402c001400115000000fb0280fe00000000000090010000
00000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100280000000000050000001402c001cc02
0700000021050100290000000000050000001402c001ac0310000000fb0280fe0000000000009001000000020002001053796d626f6c0000040000002d010000
04000000f001010007000000210501003d0000000000050000001402c001880707000000210501002d0000000000050000001402c001da0415000000fb0280fe
0000000000009001000000000002001054696d6573204e657720526f6d616e000300040000002d01010004000000f00100000700000021050100330000000000
050000001402c0018508070000002105010031000000000005000000140215018d0615000000fb02e0fe0000000000009001000000000002001054696d657320
4e657720526f6d616e002b00040000002d01000004000000f0010100070000002105010032000000000010000000fb021000070000000000bc02000000000102022253797374656d0006040000002d01010004000000f0010000030000000000}}}}}{\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par }\pard \ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
10.-Resolver la integral }{\pard\plain \ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
\b\i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1020\objh440{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000060000000
02010101000a01031500000112827312826512826e030f00000b110102883500000a128378128364128378000b11110d0286f2000000fffffc79fffffc79ffff000000000000000000000000000000000000000000000000000000000000000001050000050000000d0000004d45544146494c45504943540007070000
f8fcfffffa0100000800070708030000
010009000003f90000000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02c00260061200000026060f001a00ffffffff000010000000c0ffffffc0ffffff20060000800200000b0000002606
0f000c004d617468547970650000800010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320a4a02400001000000f20015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000
f001000009000000320ac0010104030000007864780015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a1401270301000000350015000000fb0280fe0000000000009001000000000402001054696d657320
4e657720526f6d616e000081040000002d01010004000000f001000009000000320ac0010f010300000073656e000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01000004000000f0010100030000000000}{\result {
\b\i\f0\fs24\dn16\insrsid13464150 {\pict{\*\picprop\shplid1093{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}
{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw1799\pich776\picwgoal1020\pichgoal440\wmetafile8\bliptag509821696\blipupi2304{\*\blipuid 1e634300f625132548913f1ce72b056e}
010009000003f90000000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02c00260061200000026060f001a00ffffffff000010000000c0ffffffc0ffffff20060000800200000b00000026060f00
0c004d617468547970650000800010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320a4a024000
01000000f20015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f0010000
09000000320ac0010104030000007864780015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e00008104000000
2d01000004000000f001010008000000320a1401270301000000350015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f
6d616e000081040000002d01010004000000f001000009000000320ac0010f010300000073656e000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01000004000000f0010100030000000000}}}}}{
\b\i\f0\fs24\insrsid13464150 
\par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par }\pard \ql \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 Soluci\'f3n:  }{\f0\fs24\insrsid13464150  Es impar en senx por lo que hacemos el cambio cosx=t
\par }\pard \ql \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150  con lo que -senx.dx=dt. Entonces:
\par }\pard \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
\objw5481\objh560{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000020010000
02010101000a01031502000112827312826512826e030f02000b01000102883500000a12837802822e12836412837802863d031502000112827312826512826e030f02000b01000102883400000a12837802822e12827312826512826e12837802822e12836412837802863d031502000112827312826512826e030f0200
0b01000102883200000a12837802822e12827312826512826e030f02000b01000102883200000a12837802822e12827312826512826e12837802822e128364128378000b010001000d0286f200000b010001000d0286f200000b010001000d0286f2000000ffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffff000000000000000000000000000000000000000000000000000000000000000001050000050000000d0000004d45544146494c455049435400c225000024fcffffd20300000800c225dc030000
010009000003e50100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02800340221200000026060f001a00ffffffff000010000000c0ffffffadffffff002200002d0300000b0000002606
0f000c004d617468547970650000b00010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000008000000320aaa02400001000000f20008000000320aaa025e0801000000f20008000000320aaa02ec1301000000f20010000000fb0280fe0000000000009001000000020002
001053796d626f6c0002040000002d01010004000000f001000008000000320a2002ba12010000003d0008000000320a20022c07010000003d0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a20029020
02000000647808000000320a20029a1f01000000780008000000320a2002341c01000000780008000000320a2002241801000000780008000000320a2002f21002000000647808000000320a2002fc0f01000000780008000000320a2002960c01000000780008000000320a2002640502000000647808000000320a2002
6e0401000000780015000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001000008000000320a20023c20010000002e0009000000320a2002481d0300000073656e0008000000320a2002d61c010000002e0009000000320a20023819
0300000073656e0008000000320a2002c618010000002e0009000000320a200228150300000073656e0008000000320a20029e10010000002e0009000000320a2002aa0d0300000073656e0008000000320a2002380d010000002e0009000000320a20029a090300000073656e0008000000320a20021005010000002e00
09000000320a20027c010300000073656e0015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01000004000000f001010008000000320a7401571b01000000320008000000320a7401471701000000320008000000320a7401b90b0100000034000800
0000320a740194030100000035000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01010004000000f0010000030000000000}{\result {\f0\fs24\dn22\insrsid13464150 
{\pict{\*\picprop\shplid1094{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw9666\pich988\picwgoal5480\pichgoal560\wmetafile8\bliptag-2066622299\blipupi64{\*\blipuid 84d1d8a50e4b42b559e37dcf56489925}010009000003e50100000200150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02800340221200000026060f001a00ffffffff000010000000c0ffffffadffffff002200002d0300000b00000026060f00
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\par 
\par 
\par }\pard \ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp80 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp80 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
11.- Calcula por el m\'e9todo m\'e1s adecuado la siguiente integral}{\f0\fs24\insrsid13464150 :
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\par 
\par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n: 
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\par }\pard \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\f0\fs24\insrsid13464150 
\par 
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\f0\fs24\insrsid13464150 
\par 
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{\pict{\*\picprop\shplid1108{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par 
\par 
\par }\pard \ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 12
.-Resuelve la integral siguiente: }{\pard\plain \ql \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
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26060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\b\i\f0\fs24\dn24\insrsid13464150 
{\pict{\*\picprop\shplid1109{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\b\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 Soluci\'f3n:
\par }{\f0\fs24\insrsid13464150 La descomponemos en dos integrales. En la primera podemos buscar en el numerador la de\-rivada del denominador y en la segunda buscamos el arco tangente
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw6914\pich1094\picwgoal3920\pichgoal620\wmetafile8\bliptag-1386616927\blipupi-675{\*\blipuid ad59e7a1b88fc12335199179fd5608c6}
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\par }\pard \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
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{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw8079\pich1094\picwgoal4580\pichgoal620\wmetafile8\bliptag-2041787503\blipupi-297{\*\blipuid 864ccb91e37c4c17fcab03791d8cf978}
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\par }{\pard\plain \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw5540\objh960{\*\objclass Equation.3}{\*\objdata 01050000020000000b000000
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00000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn44\insrsid13464150 {\pict{\*\picprop\shplid1112{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw9770\pich1693\picwgoal5539\pichgoal960\wmetafile8\bliptag165597716\blipupi222{\*\blipuid 09ded21401061355121f2ba58b59a64b}0100090000038c0200000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
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10000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010004000000f001020008000000320aca03170301000000f200
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08000000320a4003dd0a010000003d0008000000320a66042b06010000002b0008000000320a4003e501010000003d0015000000fb0280fe0000000000009001
010000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320a4003e02002000000647808000000320a
7d04e81d01000000780008000000320a4003551502000000647808000000320a6104890d01000000780008000000320a4003150902000000647808000000320a
6604910401000000780008000000320a4003460001000000490015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d61
6e000081040000002d01020004000000f001010008000000320ab503f51f01000000320008000000320ab5034c0e01000000320008000000320aba0354050100
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00002d01010004000000f001020008000000320aa905ba1e01000000370008000000320ae3047d1b01000000310008000000320a5402b51d0100000031000800
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\par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 Haciendo  el cambio x/7=t resulta x=7t y por tanto dx=7dt por lo que
\par }\pard \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
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14020002c5160500000013020002ad1710000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320aea02530f01000000f20008000000320aea02070501000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01
020004000000f001010008000000320a60029315010000003d0008000000320a86036f11010000002b0008000000320a6002310c010000003d0008000000320a86032307010000002b0008000000320a6002e501010000003d0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f
6d616e000081040000002d01010004000000f001020008000000320a6002131b01000000740008000000320a6002fb1302000000647408000000320a86037d1201000000740008000000320a6002990a02000000647408000000320a8603310801000000740008000000320a6002460001000000490015000000fb0280fe
0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f00101000a000000320a6002e9170500000061726374670008000000320a8603d91601000000370008000000320a7401df1601000000330008000000320a8603911001000000310008000000320a7401
cd1101000000310008000000320a86037d0d02000000343908000000320a74018c0d02000000323108000000320a6002cd0901000000370008000000320a60026d09010000002e0008000000320a8603450601000000310008000000320a7401810701000000310008000000320a8603310302000000343908000000320a
7401910301000000330015000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ada02101301000000320008000000320ada02c40801000000320008000000320ac002e2000100000032000a00000026060f000a00
ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn24\insrsid13464150 {\pict{\*\picprop\shplid1113{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw7865\pich1094\picwgoal4459\pichgoal620\wmetafile8\bliptag-77873607\blipupi-358{\*\blipuid fb5bbe39e0999e4751186e9fbbb76349}
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c5160500000013020002ad1710000000fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01010008000000320aea02530f0100
0000f20008000000320aea02070501000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d01020004000000
f001010008000000320a60029315010000003d0008000000320a86036f11010000002b0008000000320a6002310c010000003d0008000000320a860323070100
00002b0008000000320a6002e501010000003d0015000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e0000810400
00002d01010004000000f001020008000000320a6002131b01000000740008000000320a6002fb1302000000647408000000320a86037d120100000074000800
0000320a6002990a02000000647408000000320a8603310801000000740008000000320a6002460001000000490015000000fb0280fe00000000000090010000
00000402001054696d6573204e657720526f6d616e000081040000002d01020004000000f00101000a000000320a6002e9170500000061726374670008000000
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320a86037d0d02000000343908000000320a74018c0d02000000323108000000320a6002cd0901000000370008000000320a60026d09010000002e0008000000
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fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e000081040000002d01010004000000f001020008000000320ada021013
01000000320008000000320ada02c40801000000320008000000320ac002e2000100000032000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d0000040000002d01020004000000f0010100030000000000}}}}}{\pard\plain 
\ql \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1020\objh580{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300
00000000000000006000000002010101000a0102863d030e00000102883300010288370000128361128372128363128374128367030e00000112837800010288370000000087c3ffffffffff000000000000000000000000000000000000000000000000000000004f424a0701050000050000000d000000
4d45544146494c4550494354000707000001fcffff2202000008000707ff030000
0100090000030d0100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02a00360061200000026060f001a00ffffffff000010000000c0ffffffa9ffffff20060000490300000b0000002606
0f000c004d617468547970650000b00009000000fa02000010000000000000002200040000002d010000050000001402e8014f01050000001302e8012802050000001402e8014105050000001302e801200615000000fb02a0fe0000000000009001000000000402001054696d6573204e657720526f6d616e0019000400
00002d01010008000000320a520359050100000037000a000000320a400256020500000061726374670008000000320a5203640101000000370008000000320a6401690101000000330015000000fb02a0fe0000000000009001010000000402001054696d6573204e657720526f6d616e001900040000002d0102000400
0000f001010008000000320a64016c0501000000780010000000fb02a0fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f001020008000000320a40023b00010000003d000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc0200000000
0102022253797374656d006e040000002d01020004000000f0010100030000000000}{\result {\f0\fs24\dn22\insrsid13464150 {\pict{\*\picprop\shplid1114{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 268435473}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1799\pich1023\picwgoal1020\pichgoal580\wmetafile8\bliptag-2078872262\blipupi-1923{\*\blipuid 8416ed3aa26749d9cba6c20a0cf30559}
0100090000030d0100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02a00360061200000026060f001a00ffffffff000010000000c0ffffffa9ffffff20060000490300000b00000026060f00
0c004d617468547970650000b00009000000fa02000010000000000000002200040000002d010000050000001402e8014f01050000001302e801280205000000
1402e8014105050000001302e801200615000000fb02a0fe0000000000009001000000000402001054696d6573204e657720526f6d616e001900040000002d01
010008000000320a520359050100000037000a000000320a400256020500000061726374670008000000320a5203640101000000370008000000320a64016901
01000000330015000000fb02a0fe0000000000009001010000000402001054696d6573204e657720526f6d616e001900040000002d01020004000000f0010100
08000000320a64016c0501000000780010000000fb02a0fe0000000000009001000000020002001053796d626f6c0000040000002d01010004000000f0010200
08000000320a40023b00010000003d000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d006e040000002d01020004000000f0010100030000000000}}}}}{\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\b\i\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
13.-Calcula por el m\'e9todo m\'e1s adecuado la integral siguiente:  }{\pard\plain \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 
\aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \i\fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb\objw1120\objh680{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e33000000000000000000
80000000
02010101000a010315020001030e00000102822812834c128378028229030f00000b11010288320000000a011283780000128364128378000b010001000d0286f2000000ff0fffffff0fffffff0fffffff1fffffff1fffffff1fffffff1fffff000000000000000000000000000000000000000000000000000000000606
666401050000050000000d0000004d45544146494c455049435400b807000051fbffff540200000800b807af040000
010009000003260100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000050000000b0200000000050000000c02400400071200000026060f001a00ffffffff000010000000c0ffffffb1ffffffc0060000f10300000b0000002606
0f000c004d617468547970650000e00009000000fa02000010000000000000002200040000002d0100000500000014022802cd0105000000130228021d0510000000fb0200fd0000000000009001000000020002001053796d626f6c0000040000002d01010008000000320a6103400001000000f20015000000fb02a0fe
0000000000009001010000000402001054696d6573204e657720526f6d616e001900040000002d01020004000000f001010008000000320a8002690502000000647808000000320a9603310301000000780008000000320a98016b02020000004c7815000000fb0220ff0000000000009001000000000402001054696d65
73204e657720526f6d616e001900040000002d01010004000000f001020008000000320afa00690401000000330015000000fb02a0fe0000000000009001000000000402001054696d6573204e657720526f6d616e001900040000002d01020004000000f001010008000000320a9801d50301000000290008000000320a
9801e2010100000028000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d006e040000002d01010004000000f0010200030000000000}{\result {\b\i\f0\fs24\dn28\insrsid13464150 
{\pict{\*\picprop\shplid1115{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fHitTestFill}{\sv 1}}
{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1976\pich1199\picwgoal1120\pichgoal680\wmetafile8\bliptag1468449719\blipupi-1454{\*\blipuid 5786c3b7fe206d581a859326be792213}
010009000003260100000300150000000000050000000902000000000400000002010100050000000102ffffff00040000002e01180005000000310201000000
050000000b0200000000050000000c02400400071200000026060f001a00ffffffff000010000000c0ffffffb1ffffffc0060000f10300000b00000026060f00
0c004d617468547970650000e00009000000fa02000010000000000000002200040000002d0100000500000014022802cd0105000000130228021d0510000000
fb0200fd0000000000009001000000020002001053796d626f6c0000040000002d01010008000000320a6103400001000000f20015000000fb02a0fe00000000
00009001010000000402001054696d6573204e657720526f6d616e001900040000002d01020004000000f001010008000000320a800269050200000064780800
0000320a9603310301000000780008000000320a98016b02020000004c7815000000fb0220ff0000000000009001000000000402001054696d6573204e657720
526f6d616e001900040000002d01010004000000f001020008000000320afa00690401000000330015000000fb02a0fe00000000000090010000000004020010
54696d6573204e657720526f6d616e001900040000002d01020004000000f001010008000000320a9801d50301000000290008000000320a9801e20101000000
28000a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000000102022253797374656d006e040000002d01010004000000f0010200030000000000}}}}}{\i\f0\fs24\insrsid13464150  
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n
\par }{\f0\fs24\insrsid13464150 El m\'e9todo m\'e1s adecuado es el de sustituci\'f3n o cambio de variable:
\par }\pard \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\pard\plain \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
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{\sp{\sn fillShape}{\sv 1}}{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par 
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 
\par }\pard \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 \shading2500\cbpat8 {\b\i\f0\fs24\insrsid13464150 
14.-Resuelva la integral  }{\pard\plain \qj \li0\ri0\widctlpar\brdrt\brdrs\brdrw15\brsp20 \brdrl\brdrs\brdrw15\brsp20 \brdrb\brdrs\brdrw15\brsp20 \brdrr\brdrs\brdrw15\brsp20 \aspalpha\aspnum\faauto\adjustright\rin0\lin0\rtlgutter\itap0 
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\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw2293\pich988\picwgoal1300\pichgoal560\wmetafile8\bliptag-818108023\blipupi-1332{\*\blipuid cf3ca98909cbf978a2fb0b1514584ffd}
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\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid13464150 
\par Soluci\'f3n:
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid13464150 Se resuelve por partes:
\par }\pard \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\pard\plain \qj \li708\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \fs24\lang1034\langfe3082\cgrid\langnp1034\langfenp3082 {\object\objemb
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\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw1940\pich1341\picwgoal1100\pichgoal760\wmetafile8\bliptag-1141650077\blipupi-1332{\*\blipuid bbf3cd63333621b1737467d63bd5be5f}
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\par Soluci\'f3n:
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