- #1

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## Homework Statement

If f(z) is analytic on and inside |z|=1, show [tex]\int_{0}^{2\pi} e^{i \theta}f(e^{i \theta}) d\theta = 0[/tex]

## Homework Equations

Cauchy's theorem: [tex]\oint f(z)dz=0[/tex]

## The Attempt at a Solution

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