- #1

- 1,271

- 7

## Homework Statement

Let [tex]\Omega[/tex] be a bounded domain in C whose boundary is a curve z = z(t), a<=t<=b, and let [tex]A(\Omega)[/tex] be the area of [tex]\Omega[/tex]. Prove that

[tex]A(\Omega) = \frac{1}{2}\int^b_a |z(t)|^2 Im(\frac{z'(t)}{z(t)})dt[/tex]

## Homework Equations

## The Attempt at a Solution

Not even sure where to start on this. Any tips?