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
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.