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Differential EquationsMediumBoundary Values & Fourier Series

Boundary Values & Fourier Series · Medium problem

Find the coefficient b3b_3 of the Fourier sine series ∑n≥1bnsin⁡nx\sum_{n\ge1} b_n\sin nx of f(x)=x(π−x)f(x) = x(\pi - x) on [0,π][0, \pi].