document.write( "Question 1118137: 1. Use substitution to find ʃ x(x^2 – 4)^2 dx.\r
\n" ); document.write( "\n" ); document.write( "2. Find ʃ sin3 x (cos x)dx, if the limits of integration are π (upper) and 0 (lower).\r
\n" ); document.write( "\n" ); document.write( "3. Evaluate ʃ 5/x dx if the limits of integration are e2 and 1 (lower). \n" ); document.write( "

Algebra.Com's Answer #733416 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"u=x%5E2-4\"$
\n" ); document.write( " $\"du=2xdx\"$
\n" ); document.write( "Substituting,
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\n" ); document.write( "Now finish the integration.
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\n" ); document.write( "I'm assuming you mean the 3 as an exponent,
\n" ); document.write( " $\"u=sin%28x%29\"$
\n" ); document.write( " $\"du=cos%28x%29dx\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"int%28sin%28x%29%5E3%2Cdx%29=int%28u%5E3%2Cdu%29\"$
\n" ); document.write( "Finish the integration, substitute back to x, and use the limits.
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\n" ); document.write( " $\"int%285%2Fx%2Cdx%29=5int%281%2Fx%2Cdx%29=5%2Aln%28x%29%2BC\"$
\n" ); document.write( "Solve using the limits of integration.\r
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