Hi guys. I have a problem with an integration problem I've recently stumbled upon.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int \frac{1}{sin^{-1} x\sqrt{1-x^2}} dx}[/tex]

This is directly integrable, but if I do it by parts, I get a weird result of [tex]\int \frac{1}{sin^{-1} x\sqrt{1-x^2}} dx} = 1 + \int \frac{1}{sin^{-1} x\sqrt{1-x^2}} dx}[/tex]!! Why is that so?

EDIT: Why doesn't my LaTeX work?!

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# Problem with integration

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