# Integral on the circle

1. Sep 3, 2014

### Likemath2014

How I can show the following

$$\int _{\mathbb{T}} \frac{1}{|1-e^{-i\theta}z|^2}dm(e^{i\theta})= \frac{1}{1-|z|^2} ,$$
where z is in the unit disc
dm is the normalized Lebesgue measure and
T is the unite circle.

2. Sep 18, 2014