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Thread: Integration

  1. May 9th 2009, 08:56 AM #1
    djmccabie
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    Integration

    Hi just wondered how to integrate this

    ∫(x+2)/(x²+1)

    im making (x+2)ln(x²+1)

    doesn't look right lol
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  2. May 9th 2009, 09:01 AM #2
    Pinkk
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    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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