Hello, here's the problem:

Let be C a curve in Riemmann Surface log(z) that goes from z=1 (in the log(1)=0 sheet) to z=1 turning around z=0 'n' times. Calculate:

I have tried to calculate in this way:

so

thus:

As r=1: (I know I could have simplified before)

What do you think? Is it right?

Thank you.