Question

Find: $\int \frac{1-cosx}{cosx(1+cosx)}$

Answer 1

Substitute for $cosx=\left(\frac{1-ta{n}^2\left(\frac{x}{2}\right)}{1-ta{n}^2\left(\frac{x}{2}\right)}\right)$ and simplify and later substitute for $tan\frac{x}{2}=t$.