Hey Guys I'm having trouble with doing this integral at the moment

$\displaystyle

\int \frac{1}{1+x^{3/2}} dx

$

(The background is that I'm trying to calculate a stellar distribution function for a potential-density pair with additional constraints on the anisotropy profile)

Any hints on how to get started, I've got a feeling that it should be analytic but it's looking pretty horrible

Thanks in advance