# Complex integral without cauchy

1. Oct 13, 2011

### Daniiel

Hey,

I've been trying to do this integral without cauchy's theorem (with the theorem i get 6ipi in like 2 steps). Im stuck at this point, I have found afew ways to do the integral im stuck on but they all involve multiple variable changes and I was wondering if there is a simple way to do this that i'm not seeing.

[PLAIN]http://img832.imageshack.us/img832/7958/intup.jpg [Broken]

sorry typo, its not supposed to be 1/2 ln(1+2e^(it)) just ln(1+2e^(it))