1. The problem statement, all variables and given/known data Computer the integral: Integral from 0 to infinity of (d(theta)/(5+4sin(theta)) 2. Relevant equations integral 0 to 2pi (d(theta)/1+asin(theta)) = 2pi/(sqrt(1-a^2)) (-1<a<1) 3. The attempt at a solution I've seen this integral be computed from 0 to 2pi, where the answer is 2pi/3 using the integral from 0 to 2pi (d(theta)/1+asin(theta)) = 2pi/(sqrt(1-a^2)) (-1<a<1) Is there a typo in the bounds? Should the bounds be from 0 to 2pi instead of 0 to infinity? :/ Or can this problem be solved with another trick/the same trick?