Dear community(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to get a grip on this integral:

[tex]\int \frac{\sqrt{1-x}}{\sqrt{x}-1} dx[/tex].

I tried substituting [tex]x=\sin^{2}(u)[/tex], which leaves me (standing) with

[tex]\int \frac{\sin(u)\cos^{2}(u)}{\sin(u)-1} du[/tex].

But I just can't solve it, no matter which way I try.

I would be thankful for every kind of hint/explanation.

Best regards...Cliowa

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# Interesting integral

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