How would you integrate it?(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\int \frac{d \varphi}{\sqrt{1 + \frac{a^2 b^2 \sin^2 \alpha}{(a \sin \varphi + b \sin (\alpha - \varphi))^2}}}[/itex]

I know that solving it numerically would probably be easier, but I would prefer a closed form solution in this case.

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# An Integral With A Square Root In The Denominator

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