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## Homework Statement

C = positively oriented simple closed piecewise smooth path

Prove that:

(1/2i)*\int_{C}\bar{z}dz

is the area enclosed by C.

## Homework Equations

*I know that the curve C is piecewise smooth so that it can be broken up into finitely many pieces so that each piece is smooth.

*Cauchy's integral formula

## The Attempt at a Solution

I think that I want to let some function f(t) be a continuous complex-valued function on the path C. Let g(t) be a parametrization of the curve. Frankly, I'm not sure where to go from here. I've just started doing contour integration problems and I have problems knowing where to start with proofs.

I'm just hoping someone can point me in the right direction on where I might want to begin. Thanks.