Answer to Question #196563 in Calculus for Sujitha

Question

Evaluate integral of (z-3)^4 where c is the circle |z-3|=4

Answer 1

By Cauchy's integral theorem: 

$\oint_Lf(z)dz=0$

So: 

$\oint_{|x-3|=4}(z-3)^4dz=0$