# Applied Mathematics/Fourier Sine Series

## Fourier sine series

editThe series below is called **Fourier sine series**.

where

The series below is called **Fourier sine series**.

- $f(x)=\sum _{n=1}^{\infty }b_{n}\sin {\frac {n\pi x}{L}}$

where

- $b_{n}={\frac {2}{L}}\int _{0}^{L}f(x)\sin {\frac {n\pi x}{L}}dx$