Check my contour integral solution

[MissP.25_5]

Hello.
Question is attached.
Can someone check my answer? Did I convert the last part correctly? Is everything correct?

 

[Joffan]

looks OK to me... and what is $\sin\pi$?

 

[MissP.25_5]

looks OK to me... and what is $\sin\pi$?

Sin∏=0. Thanks!