Fourier series Formula

The formula for the fourier series of the function f(x) in the interval [-L, L], i.e. -L ≤ x ≤ L is given by:

Fourier Series Example

Example: Determine the fourier series of the function f(x) = 1 – x² in the interval [-1, 1].

Solution:

Given,

f(x) = 1 – x²; [-1, 1]

We know that, the fourier series of the function f(x) in the interval [-L, L], i.e. -L ≤ x ≤ L is written as: