1. The problem statement, all variables and given/known data Let C be the contou starting at z=-1 going around the circle lzl=1 and ending back at z=-1 (counterclockwise) determine. Int. (Log(z)/z) dz. 2. Relevant equations z=e^(Log(z)) 3. The attempt at a solution So I've been stuck on this problem for quite some time. Im not sure if the integral is suppose to be broken up into: Int f(z(t))*z'(t) dt. If so, I'm unsure what to call my f(z) and my z(t). I tried calculating: z(t)=e^it z'(t)=ie^it Log(z(t))=Log(e^it)=it Then (0,pi)Int((it/e^it)*ie^it) dt = (0,pi)Int (-t) dt = -pi. I'm sure this isn't correct. Any help would be appreciated.