Hi. How do you integrate this function?

$\displaystyle \int_0^1 \left(\alpha^2 -\beta^2 x^2\right)^{-1/2} \left(\gamma^2 -k^2 \beta^2 x^2 \right)^{-1} dx$

where:

$\displaystyle \alpha, \gamma > 0$ , $\displaystyle 0 \leq k \leq 1$ and $\displaystyle 0\leq \beta \leq 2k$

are some constants.