Applied Mathematics/Fourier Sine Series

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Fourier sine series[edit]

The series below is called Fourier sine series.

f(x)=\sum_{n=1}^\infty b_n \sin \frac{n \pi x}{L}

where

b_n=\frac{2}{L}\int_{0}^{L}f(x) \sin \frac{n \pi x}{L}dx