I am trying to figure out which substitution to use to get this integral done:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int \frac{du}{\sqrt{u-u^2} \cdot (1+ub)}[/tex]

When I plug it into Mathematica I get:

[tex]\sqrt{\frac{4}{b+1}} \cdot \texttt{arctan} \left ( \sqrt{\frac{(b+1)u}{1-u}} \right )[/tex]

Any ideas about a suitable substitution?

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# Tough integral

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