What's the difference between integrating:
$$\int_{-i}^i {z^{\frac{1}{3}}} \: dz$$ on the principal branch, and on the branch $\pi<\arg(z)<3\pi$?
What's the difference between integrating:
$$\int_{-i}^i {z^{\frac{1}{3}}} \: dz$$ on the principal branch, and on the branch $\pi<\arg(z)<3\pi$?
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