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Math Help - Integration? Looks simple enough? Literally

  1. #1
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    Integration? Looks simple enough? Literally

    x^(2)/(x+1)

    I'm needing to figure out the integral of this, its on my practice final, and it looks really simple at first but I cant figure it out. Anyone able to shed some light on this?
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  2. #2
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    {x^2 \over x+1} = {(x+1)(x-1) + 1 \over x+1} = x-1 + {1\over x+1}
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  3. #3
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by Lolcats View Post
    x^(2)/(x+1)

    I'm needing to figure out the integral of this, its on my practice final, and it looks really simple at first but I cant figure it out. Anyone able to shed some light on this?
    Long division gives:

     \int \frac{x^2}{x+1} = \int (\frac{1}{x+1} +x-1)
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  4. #4
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    Nevermind! Thank you! Got it!
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    Basically. You could also make the substitution u=x+1.
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