exercise 51 please

4.2 Integration by Residues The reason for introducing the idea of residues lies in the following theorem: Theorem 9 If C is a closed contour and if f() is regular within, and on. C except at a finite number of poles , in C, then (40) ZEC Exercise 50 Prove this theorem. Exercise 51 Compute the complex integral, 3:14 16 2 where C is the circle of radius 3/2 centered on the origin