document.write( "Question 407767: Evaluate the integral using integration by parts with explanations.\r
\n" ); document.write( "\n" ); document.write( "ln (2x+1) dx \n" ); document.write( "

Algebra.Com's Answer #287354 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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$\"int%28ln%282x%2B1%29dx%29\"$
\n" ); document.write( "Use formula $\"int%28udv%29\"$ = $\"u%2Av-int%28vdu%29\"$
\n" ); document.write( "Let $\"u=ln%282x%2B1%29\"$ $\"dv=dx\"$
\n" ); document.write( "then $\"du=%282%2F%282x%2B1%29%29dx\"$ $\"v=x\"$
\n" ); document.write( " $\"int%28ln%282x%2B1%29dx%29\"$ = $\"xln%282x%2B1%29-int%28x%2A%282%2F%282x%2B1%29%29dx%29\"$ = $\"xln%282x%2B1%29-int%28%28%282x%29%2F%282x%2B1%29%29dx%29\"$ = $\"xln%282x%2B1%29-int%28%28%282x%2B1%29-1%29%2F%282x%2B1%29%29\"$ $\"dx%29\"$ = $\"xln%282x%2B1%29-int%28%281-%281%2F%282x%2B1%29%29%29dx%29\"$ = $\"xln%282x%2B1%29-%28x-2%2F%282x%2B1%29%29%2BC=xln%282x%2B1%29-x%2B2%2F%282x%2B1%29%2BC\"$ \n" ); document.write( "

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