1. The problem statement, all variables and given/known data Find the value of ∫ x^2/(((x^2 + 4)^2)(x^2+9)) dx. With the limits from 0 to infinity. 2. Relevant equations 3. The attempt at a solution I know that this is an even function so we can calculate the value of the integral from -∞ to ∞ and just divide by 2. The upper half plane singularities are 3i and 2i and 2i. I calculated the residue for 3i, but couldn't figure out a way to calculate it for 2i. I tried to take the derivate of the denominator, but if you plug in 2i into that, you would get 0. I tried other ways, but they only resulted in negative answers. Is there a way that I'm not thinking of to find the residue at 2i? Thanks for any help.