There is this problem from Complex Variables (Brown and Churchill) regarding the definite integral of a sine and cosine function. It's supposed to be integrated using residues. I've been trying to solve it for years. Must be a typographical error. But maybe I'm just not smart enough. The integral is \begin{equation} \int_{0}^{2\pi}\frac{\cos^23\theta d\theta}{5-4\cos2\theta}. \end{equation} Can anyone answer it so I can finally let it go? It says the answer is $\frac{3\pi}{8}$ but I have no idea how to get it.
2026-04-12 23:43:19.1776037399
Contour Integration of Definite Integral of Sine and Cosine, 4th order pole
231 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in COMPLEX-ANALYSIS
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