document.write( "Question 1141106: Find the integral of x(x + 1)^5dx \n" ); document.write( "

Algebra.Com's Answer #762257 by Fombitz(32388) $\"\"$ $\"About$

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Use a substitution,
\n" ); document.write( " $\"u=x%2B1\"$
\n" ); document.write( " $\"x=u-1\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"int%28x%281%2Bx%29%5E5%2Cdx%29=int%28%28u-1%29u%5E5%2Cdu%29\"$
\n" ); document.write( " $\"int%28x%281%2Bx%29%5E5%2Cdx%29=int%28%28u%5E6-u%5E5%29%2Cdu%29\"$
\n" ); document.write( " $\"int%28x%281%2Bx%29%5E5%2Cdx%29=u%5E7%2F7-u%5E6%2F6%2BC\"$
\n" ); document.write( " $\"int%28x%281%2Bx%29%5E5%2Cdx%29=%28x%2B1%29%5E7%2F7-%28x%2B1%29%5E6%2F6%2BC\"$
\n" ); document.write( "Now simplify. \n" ); document.write( "

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