Math Help - Tricky Integral

1. Tricky Integral

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

$
\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

2. Re: Tricky Integral

Originally Posted by thelostchild
Hey Guys I'm having trouble with doing this integral at the moment
$\int \frac{1}{1+x^{3/2}} dx$
Have a look here.

3. Re: Tricky Integral

Originally Posted by Plato
Linking to W|A is right on par with using Let me google that for you !
Happy thanksgiving, btw.
Or jhapoy Thursday, depending...

4. Re: Tricky Integral

Using the substitution $t=x^{1/2}$ we get $\int\frac{dx}{1+x^{3/2}}=2\int\frac{t\;dt}{1+t^{3}}=\ldots$ (rational)