1. The problem statement, all variables and given/known data Evaluate the integral along the path given: integral(along a(t) of (b^2-1)/(b^2+1) db ) where a(t)=2*e^(it) , 0 <= t <= 2*pi 2. Relevant equations none 3. The attempt at a solution I am thinking of using the Residue Theorem. I think there are poles at -i and +i. But not sure what to do to show this explicitly.