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## Homework Statement

Use Cauchy's integral formula to evaluate

a) C is the unit circle

b) c is the circle mod(Z)=2

## Homework Equations

I know the integral formula is

## The Attempt at a Solution

for the unit circle I was attempting F(z)=sin(z) and Z

_{0}=∏/2, which would give a solution of 2∏i, however if this is the correct method I am unsure how to modify it for a larger unit circle as I thought the final result was independent of radius