[tex]\int \frac{dx} { \sqrt{ \frac{1}{x} - \frac{1}{b}} }[/tex](adsbygoogle = window.adsbygoogle || []).push({});

where b is a positive constant.

Using http://integrals.wolfram.com" [Broken], I know the result:

[tex]-\sqrt{bx} \sqrt{b-x} + b\sqrt{b} \tan^{-1}( \frac{\sqrt{x}} {\sqrt{b-x}})[/tex]

but how do I calculate it from scratch?

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# Homework Help: Yet another motion integral

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