[itex]\displaystyle\int_0^\pi\dfrac{x dx}{a^2sin^2(x)+b^2cos^2(x)}[/itex](adsbygoogle = window.adsbygoogle || []).push({});

I have to prove this to be equal to [itex]\dfrac{\pi^2}{2ab}[/itex] but with my attempt at it this problem boils down to:

[itex]\dfrac{\pi}{2ab}\bigg[\arctan\Big(\dfrac{atan(x)}{b}\Big)\bigg]_0^\pi[/itex] which equals zero.

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# Doesn't this integral equal zero?

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