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Differential EquationsMediumBoundary Values & Fourier Series

Boundary Values & Fourier Series · Medium problem

Expand f(x)=xf(x) = x in its Fourier series on [−2,2][-2, 2]: ∑n≥1bnsin⁡nπx2\sum_{n\ge1} b_n\sin\dfrac{n\pi x}{2}. Find b1b_1.