# Substitutions for some trig integrals?

1. Nov 24, 2008

### Peeter

Does anybody know substitutions that can be used for the following integrals:

$$\int (a^2 - b^2 \cos\theta)^{-3/2} d\theta$$
$$\int (a^2 - b^2 \cos\theta)^{-3/2} \sin\theta d\theta$$
$$\int (a^2 - b^2 \cos\theta)^{-3/2} \cos\theta d\theta$$

I also had a look for these in my table of integrals, but didn't see anything appropriate, but am also a bit rusty, and could just be overlooking the obvious.

$$\int (a^2 - b^2 \cos\theta)^{-3/2} e^{i\theta} d\theta$$