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I want to compute $$ \int \frac{1+x^2}{1-x^2} dx $$

I am not sure how to do this one. I need some suggestions please. By the way, I need to integrate this for homework.

I appreciate your help!

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Have you tried something, what are some of the known techniques you posses? –  Jean-Sébastien Oct 14 '12 at 0:31
    
I multiplied it by its conjugate, but that just makes it more complicated. –  Jaden Q Oct 14 '12 at 0:33
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Note that "plz" is not a real word in English, but rather a short for "Platz" in German, I believe. Try to stick to actual words next time. –  Asaf Karagila Oct 14 '12 at 0:34

1 Answer 1

rewrite it as \begin{align*} \frac{1 + x^2}{1-x^2} &= -1 + \frac{2}{1 - x^2}\\ &= -1 + \frac{1}{1 - x} + \frac{1}{1 + x}\\ \end{align*} I'm sure, you can integrate this.

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How did you manage to rewrite it that way? (-1 + 2/(1-x)) I mean, what did you think? –  Damieh Oct 15 '12 at 15:37
    
nevermind just a regular polinomial division =( –  Damieh Oct 15 '12 at 15:58

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