How can I get the improper integral(adsbygoogle = window.adsbygoogle || []).push({});

## \int_0^{\infty}\frac{1}{x(1+x^2)}\,dx ##

First thing I tried was separating the integral like this

## \int_0^{1}\frac{1}{x(1+x^2)}\,dx + \int_1^{\infty}\frac{1}{x(1+x^2)}\,dx##

And then I tried with partial fractions but it didn't work

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# Improper integrals

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