Fourier Series Calculator

Calculate the Fourier coefficients (a₀, an, bn) for a periodic function f(x) defined over an interval [-L, L] or [0, T].

Use standard mathematical notation. For piecewise, use syntax like: `piecewise(x < 0 ? -1 : 1)` (requires library support)
Enter interval limits. Use 'pi', 'e'. Period T = b - a.
(For displaying the partial sum)

About the Fourier Series Calculator

This calculator computes the Fourier coefficients (a₀, an, bn) for a given periodic function f(x) over a specified interval, representing it as a sum of sines and cosines.

Essential for signal processing, solving PDEs, and analyzing periodic phenomena. See also our Series Calculator and Integral Calculator.