$$ \begin{align} \int_{|z|=1}(4-z^2)^{-1/2}dz \end{align} $$
The exercise hints at the usage of $e^{2Logz}$ , although any solution or methodology for such integrals would be welcome.
2026-04-03 12:32:54.1775219574
Calculation of a Contour Integral
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Hint: Your function has no poles inside the region of integration.
See this post for a general discussion: https://mathematica.stackexchange.com/questions/34073/how-to-calculate-contour-integrals-with-mathematica