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Integration by parts help?

  • Thread starter Jay9313
  • Start date
  • #1
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Homework Statement



∫ln(2x+1) Integrate by parts

Homework Equations



I got xln(2x+1)+[itex]\frac{1}2{}[/itex]ln(2x+1)-x+C

The Attempt at a Solution



The solution is [itex]\frac{1}{2}[/itex](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?
 

Answers and Replies

  • #2
294
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Look at the first two terms of your answer. Is there a common factor there that you can pull out?
 
  • #3
40
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ln(2x+1) But I don't see how that will help?
 
  • #4
40
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Oh, you can pull the term out, substitute your x from your u substitution, combine some terms, and you get it! Thanks!
 
  • #5
294
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Glad I could help :)
 

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