Find the integral of 1/(1+cosx) dx from -pi/2 to pi/2.
The Attempt at a Solution
Here's my work:
1/(1+cosx)=(1-cosx)/((1+cosx)(1-cosx))=(1-cosx)/(1-cos^2 x)=(1-cosx)/sin^2 x
This is what I've got so far. But this doesn't seem to simplify the integrand.