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Differential EquationsMediumBoundary Values & Fourier Series

Boundary Values & Fourier Series · Medium problem

The Fourier series of f(x)=x2f(x) = x^2 on [−π,π][-\pi, \pi] is a02+∑n≥1ancos⁡nx\dfrac{a_0}{2} + \sum_{n\ge1} a_n\cos nx. Find a3a_3.