Math Formulas
Basic of Fourier Series
$\large f(x)=\dfrac{1}{2}a_{0}$ $ + \large \sum\limits_{n=1}^{\infty}a_{n}cos\;nx$ $+ \large \sum\limits_{n=1}^{\infty}b_{n}sin\;nx $
Where,
$a_{0}=\dfrac{1}{\pi} \displaystyle \int_{- \pi}^{\pi} f(x) dx \\ $
$ a_{n}=\dfrac{1}{\pi} \displaystyle \int_{-\pi}^{\pi} f(x)cos\;nx\;dx \\ $
$ b_{n}=\dfrac{1}{\pi} \displaystyle \int_{-\pi}^{\pi}f(x)sin\;nx\;dx \\ $
$n$ = 1,2,3,4,...