Hi i'm stuck on a problem and was wondering if anyone could help. The problem is as follows:

"It is required to evaluate

,

using contour integration.

a) consider the function

(You are given that, with , the only branch cut needed is the section [-1,1] of the real axis)

i)Find the value of around a circle of large radius.

ii)Relate M to the value of around the cut.

iii)Express N in terms of L, and hence evaluate L."

Thanks for reading.