Hello everyone,

I am curious about how to evaluate the following integral without the use of a computer.

$\displaystyle \int\((1-\beta^{2})\sin(\varphi)d\varphi/(1-\beta^{2}\sin(\varphi)^{2})^{3/2}$

Can you show some steps so that I can get the idea of it? Thanks in advance. This integral is from Berkeley Physics Course V2.