Skip to content
Sun, Oct 11, 2026 / Ideas for a clearer worldINDEPENDENT INSIGHTS · PRACTICAL TOOLS · EXPLAINERS
Sign in
EXPLOREArtificial IntelligencePersonal FinancePythonStartupsMechanical EngineeringDigital MarketingCybersecurity
basic / September 5, 2021

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, […]

By · September 5, 2021 · 1 min read

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: