A série de Fourier de f(x) é igual a

$1+{\sum }_{n=1}^{\infty }\left\{\begin{array}{c}\frac{2}{(n\pi {)}^2}\left[-1+(-1{)}^n\right]cos\frac{n\pi x}{2}+\frac{1}{n\pi }\left[-1+(-1{)}^{n+1}\right]sen\frac{n\pi x}{2}\end{array}\right\}$

$1+{\sum }_{n=1}^{\infty }\left\{\begin{array}{c}\frac{1}{(n\pi {)}^2}\left[-1+(-1{)}^n\right]cos\frac{n\pi x}{2}+\frac{2}{n\pi }\left[-1+(-1{)}^{n+1}\right]sen\frac{n\pi x}{2}\end{array}\right\}$

$1+{\sum }_{n=1}^{\infty }\left\{\begin{array}{c}\frac{2}{n\pi }\left[-1+(-1{)}^n\right]cos\frac{n\pi x}{2}+\frac{1}{(n\pi {)}^2}\left[-1+(-1{)}^{n+1}\right]sen\frac{n\pi x}{2}\end{array}\right\}$

$1+{\sum }_{n=1}^{\infty }\left\{\begin{array}{c}\frac{1}{(n\pi )}\left[-1+(-1{)}^n\right]cos\frac{n\pi x}{2}+\frac{2}{(n\pi {)}^2}\left[-1+(-1{)}^{n+1}\right]sen\frac{n\pi x}{2}\end{array}\right\}$

$1+{\sum }_{n=1}^{\infty }\left\{\begin{array}{c}\frac{2}{(n\pi {)}^2}\left[-1+(-1{)}^n\right]sen\frac{n\pi x}{2}+\frac{1}{n\pi }\left[-1+(-1{)}^{n+1}\right]cos\frac{n\pi x}{2}\end{array}\right\}$