I'm doing this long physics problem and I'm having problems with this integral, if someone could please help
First get rid of the complex fractions in the integrand. That gives
Now make the substitution x = ay. This gives (after some work)
This integral looks not too bad, but as I said, it's a picky one. I'll leave the details to WolframAlpha, but it's really not that bad, just tedious.
The procedure is simple enough. First let . After you've simplified that, then let . That gives:
which you can solve by partial fractions. Now backsubstitute to get
As I said, without the physical problem I can't tell you what form of the solution might be the most useful.