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Math Help - Integration

  1. #1
    Member
    Joined
    Sep 2008
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    239

    Integration

    Hi just wondered how to integrate this

    ∫(x+2)/(x+1)

    im making (x+2)ln(x+1)

    doesn't look right lol
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  2. #2
    Senior Member Pinkk's Avatar
    Joined
    Mar 2009
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    Uptown Manhattan, NY, USA
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    419
    Separate into two integrals:

    \int \frac{x}{x^{2}+1}\,\,dx + \int \frac{2}{x^{2}+1}\,\,dx

    \frac{ln(x^{2}+1)}{2} + C_{1} + 2tan^{-1}(x) + C_{2}

    \frac{ln(x^{2}+1)}{2} + 2tan^{-1}(x) + C
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