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\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 
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\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid2316061 Soluci\'f3n:
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\b\i\f0\fs24\insrsid2316061 3.- Calcula el \'e1rea limitada por la curva  y = x}{\b\i\f0\fs24\super\insrsid2316061 3}{\b\i\f0\fs24\insrsid2316061  \endash  6x}{\b\i\f0\fs24\super\insrsid2316061 2}{\b\i\f0\fs24\insrsid2316061  + 8x y el eje x
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\par }\pard \ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid2316061 Soluci\'f3n:
\par }\pard \qj \li0\ri0\sb240\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 Calculamos los puntos de corte de la curva con el eje }{\b\f0\fs24\insrsid2316061 x :}{\pard\plain 
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Los puntos de corte obtenidos son }{\b\f0\fs24\insrsid2316061 0}{\f0\fs24\insrsid2316061 , }{\b\f0\fs24\insrsid2316061 2 }{\f0\fs24\insrsid2316061 y }{\b\f0\fs24\insrsid2316061 4}{\f0\fs24\insrsid2316061  , por tanto el \'e1
rea pedida se halla resolviendo las integrales:
\par }\pard \qc \li0\ri0\sb240\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\pard\plain \qc \li0\ri0\sb240\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \f36\fs24\lang1034\langfe13322\cgrid\langnp1034\langfenp13322 
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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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\f0\fs24\insrsid2316061 ;        
\par           Area=}{\field\flddirty{\*\fldinst {\f0\fs24\insrsid2316061 SYMBOL 250 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061 4}{\field\flddirty{\*\fldinst {\f0\fs24\insrsid2316061 SYMBOL 250 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061 +}
{\field\flddirty{\*\fldinst {\f0\fs24\insrsid2316061 SYMBOL 250 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061 -4}{\field\flddirty{\*\fldinst {\f0\fs24\insrsid2316061 SYMBOL 250 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061 =8 u}{
\f0\fs24\up6\insrsid2316061 2
\par }{\f0\fs24\insrsid2316061 
\par }\pard \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 
\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\insrsid2316061 
4.-Calcula el \'e1rea del recinto limitado por la par\'e1bola de ecuaci\'f3n y = 9 \endash x}{\b\i\f0\fs24\super\insrsid2316061 2}{\b\i\f0\fs24\insrsid2316061  y el eje de abscisas.
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid2316061 
\par Soluci\'f3n
\par }\pard \qj \li0\ri0\sl360\slmult0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 Determinamos los puntos de corte de la curva con el eje }{\b\f0\fs24\insrsid2316061 x:
\par }\pard \qc \li0\ri0\sl360\slmult0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 9-x}{\f0\fs24\up6\insrsid2316061 2}{\f0\fs24\insrsid2316061 =0   x=3; x=-3
\par }\pard \qj \li708\ri0\sl360\slmult0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\f0\fs24\insrsid2316061 
\par }{\pard\plain \qj \li708\ri0\sl360\slmult0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 \b\fs24\lang1034\langfe13322\cgrid\langnp1034\langfenp13322 {\object\objemb\objw5500\objh800{\*\objclass Equation.3}{\*\objdata 0105000002000000
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{\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 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
\picw9701\pich1411\picwgoal5500\pichgoal800\wmetafile8\bliptag-195884974\blipupi156{\*\blipuid f45308521cee42e33a5a5a8a343ba42c}
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\f0\fs24\insrsid2316061 
\par 
\par }\pard \qc \li708\ri0\sl360\slmult0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\f0\fs24\insrsid2316061 Area=}{\field\flddirty{\*\fldinst {\f0\fs24\insrsid2316061 SYMBOL 250 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061 36}
{\field\flddirty{\*\fldinst {\f0\fs24\insrsid2316061 SYMBOL 250 \\f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061  u}{\f0\fs24\up6\insrsid2316061 2}{\f0\fs24\insrsid2316061  =36 u}{\f0\fs24\up6\insrsid2316061 2
\par }\pard \qj \li708\ri0\sl360\slmult0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin708\itap0 {\f0\fs24\insrsid2316061 
\par }\pard \qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 
\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\insrsid2316061 
5.-Calcula el  \'e1rea del recinto limitado por la par\'e1bola y=4x-x}{\b\i\f0\fs24\up6\insrsid2316061 2}{\b\i\f0\fs24\insrsid2316061  y el eje de abscisas en
\par el  intervalo [0,6]
\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\ul\insrsid2316061 
\par Soluci\'f3n:
\par 
\par }\pard \qc \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\f0\fs24\insrsid2316061 
\par }{\f0\fs24\insrsid2316061 {\*\shppict{\pict{\*\picprop\shplid1046{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\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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\f0\fs24\insrsid2316061 Comprobamos si hay puntos de corte dentro del intervalo [0,6].
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f "Symbol"}}{\fldrslt }}{\f0\fs24\insrsid2316061 x=0;  x=4
\par 
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Como hay un punto de corte dentro del intervalo [0,6] que es x = 4, las integrales a plantear son:
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\b\i\f0\fs24\up6\insrsid2316061  
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\par Soluci\'f3n:
\par }{\f0\fs24\up6\insrsid2316061 Buscamos los puntos de corte de las dos curvas:
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\par }\pard \qj \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 
\par Los l\'edmites de integraci\'f3n son -2 y 2 
\par 
\par }\pard \qj \li0\ri0\sl360\slmult1\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\f0\fs24\insrsid2316061 La funci\'f3n a integrar es la diferencia de las dos funciones.
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, por tanto,
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