# How I solve this Integral by Residue Theorem?

#### Crabby89p13

Solve the Integral with Residue Theorem.

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#### idontknow

$$\displaystyle \sin(\phi)=\frac{1}{2i}(z-\frac{1}{z}) \; , \: z=e^{i\phi }$$.

#### SDK

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?