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