Cauchy-Goursat Theorem/Examples
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Examples of Use of Cauchy-Goursat Theorem
$z^2$ over $e^{i t}$ on $\hointr 0 {2 \pi}$
Let $\map \gamma t = e^{i t}$.
Let the domain of $\gamma$ be $\hointr 0 {2 \pi}$.
Let $\map f z = z^2$.
Then:
- $\ds \oint_\gamma \map f z \rd z = 0$