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Math Help - Help with Integration by Parts Problem

  1. #1
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    Help with Integration by Parts Problem

    While attempting to integrate ln(x+1)

    I got it down to xln(x+1) - the integral of x/(x+1)

    If integration by parts is done again the problem repeats itself.
    My teacher tells me the answer is xln(x+1) - x + ln(x+1) + c

    How did he get there?
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  2. #2
    MHF Contributor red_dog's Avatar
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    \int\frac{x}{x+1}dx=\int\frac{x+1-1}{x+1}dx=\int\left(1-\frac{1}{x+1}\right)dx

    Continue now.
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  3. #3
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    Got it! Thanks for your help
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