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## Homework Statement

Recall that the area enclosed by the polygon with vertices z1,z2,z3,...,zn is

1/2I(z1conguatez2+z2congugatez3+...+zncongugatez1)

Show that the area enclosed =1/2I[tex]\Sigma[/tex]zkcongugate(zsub(k+1)-zk).

Interpret this sum as part of the approximating sum in the definition of the line integral about C of z congugatedz.

## Homework Equations

## The Attempt at a Solution

I don't even know where to start. I understand where the 1/2I(z...) comes from, but once the summation comes in, I'm lost.