I ran into the following (general form) integral today while working on an engineering problem:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int \frac{dx}{x (a \sqrt{x} +b)}

[/tex]

I ran it through 'integrals.com' and came up with the following solution:

[tex]

\frac {\ln{x} - 2 \ln{(a \sqrt{x} + b)}}{b}

[/tex]

which is fine for the purpose of solving the problem, but I'd like to be able to work it by hand. I tried integration by parts, but any choice of u and dv I could think of only made it messier. I also couldn't think of an appropriate u substitution.

Thanks in advance,

Grogs

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# Homework Help: Need some help with this integral

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