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Differential EquationsMediumBoundary Values & Fourier Series

Boundary Values & Fourier Series · Medium problem

Use Parseval's identity (or direct integration) to evaluate ∫−ππ(3+2cos⁡x−4sin⁡5x)2dx\displaystyle\int_{-\pi}^{\pi}\left(3 + 2\cos x - 4\sin 5x\right)^2dx.