(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There is a integration need to be done

[tex]I = \int_{-\infty}^\infty \frac{1+x^2}{1+x^4}dx[/tex]

2. The attempt at a solution

I use the following substitution

[tex]x=\tan \theta[/tex]

such that

[tex]dx = \frac{d\theta}{\cos^2\theta}[/tex]

Now the integration becomes

[tex]I = \int_{-\pi/2}^{\pi/2} \frac{1}{1-0.5\sin^2(2\theta)}d\theta[/tex]

But I still stuck with the simplified integration. Any other way to do that?

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# Homework Help: How to do this integration?

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