How I solve this Integral by Residue Theorem?

Dec 2015
941
122
Earth
\(\displaystyle \sin(\phi)=\frac{1}{2i}(z-\frac{1}{z}) \; , \: z=e^{i\phi } \).
 

SDK

Sep 2016
708
475
USA
Solve the Integral with Residue Theorem.
What have you done so far? Have you found the poles of the integrand? What are they? What does the residue theorem say about the relationship between this integral and the poles?