Question

How do you evaluate the integral `int costheta/(1+sintheta)`?

Answer 1

`"F"(x) = ln|sintheta +1|+"C"`

Explanation:

This is a standard integral `int (f'(theta))/(f(theta)) = ln|f(theta)| + "C"`.

So `"F"(x) = ln|1+sintheta| + " C"`