# Integration by parts help?

## Homework Statement

∫ln(2x+1) Integrate by parts

## Homework Equations

I got xln(2x+1)+$\frac{1}2{}$ln(2x+1)-x+C

## The Attempt at a Solution

The solution is $\frac{1}{2}$(2x+1)ln(2x+1)-x+C

I know the answers are the same,but it's bugging me that I can't simplify the first answer I got to the second answer. Can someone explain it to me?

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Look at the first two terms of your answer. Is there a common factor there that you can pull out?

ln(2x+1) But I don't see how that will help?

Oh, you can pull the term out, substitute your x from your u substitution, combine some terms, and you get it! Thanks!