Cauchy's Conundrums

Calculus Level 4

Let $$C$$ be a contour defined by the function $$\gamma : \left [ 0, 1 \right ] \rightarrow \mathbb{C}, \gamma(t) = e^{4\pi i t} + e^{8\pi i t}$$

Then evaluate $$\LARGE{\oint_\gamma z^{3}} \, dz$$.

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