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Math Help - integration

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    Question integration

    the integral of (1-x)/ (1+x^2) dx ?

    Thank you very much.
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  2. #2
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    Quote Originally Posted by kittycat View Post
    the integral of (1-x)/ (1+x^2) dx ?

    Thank you very much.
    Hello,

    \int\left(\frac{1-x}{1+x^2}\right) dx = \int\left(\frac{1}{1+x^2}\right) dx - \frac{1}{2} \cdot \int\left(\frac{2x}{1+x^2}\right) dx = \arctan(x) - \frac{1}{2} \cdot \ln(1+x^2) + C
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