Homework Help: Contour Integrals

1. Jan 18, 2010

csnsc14320

1. The problem statement, all variables and given/known data
If f(z) is analytic on and inside |z|=1, show $$\int_{0}^{2\pi} e^{i \theta}f(e^{i \theta}) d\theta = 0$$

2. Relevant equations

Cauchy's theorem: $$\oint f(z)dz=0$$

3. The attempt at a solution

I'm not really sure what to do here except setting $$z=e^{i\theta}$$ and plugging in, but then i dont know what to do with the $$d\theta$$ or how to make it look more like Cauchy's theorem :-\

2. Jan 18, 2010

Dick

If z=e^(i*theta), what's dz?