document.write( "Question 1060674: Find the area of theregion enclosed by the graphs of
\n" ); document.write( "f(x)=2x-5 and g(x)= (-x^2)+6x-5 \n" ); document.write( "

Algebra.Com's Answer #675603 by Fombitz(32388) $\"\"$ $\"About$

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Graphing the region,
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\n" ); document.write( "So the actual function to integrate is,
\n" ); document.write( " $\"g-f=-x%5E2%2B6x-5-2x%2B5\"$
\n" ); document.write( " $\"g-f=-x%5E2%2B4x\"$
\n" ); document.write( "The limits of integration are $\"x=0\"$ and $\"x=4\"$ so,
\n" ); document.write( " $\"A=int%28%28-x%5E2%2B4x%29%2Cdx%2Cx=0%2C4%29\"$
\n" ); document.write( " $\"A=-x%5E3%2F3%2B2x%5E2%2BC\"$
\n" ); document.write( " $\"A=-4%5E3%2F3%2B2%284%29%5E2\"$
\n" ); document.write( " $\"A=-64%2F3%2B32\"$
\n" ); document.write( " $\"A=-64%2F3%2B96%2F3\"$
\n" ); document.write( " $\"A=32%2F3\"$ \n" ); document.write( "

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