I have an integral to evaluate via contour integration:
Using the substitution I find the integral becomes,with
is that correct?
Also how would I evaluate this via the residue theorem?
The zeros are . Now, which ones are in the unit circle? Isn't it the ones? So then we have:
I'll do one of the residues:
Edit: Also, forgot to mention, if it's a simple pole and the derivative of the denominator is not zero there then:
May be easier to calculate these residues this way.