Fourier Integral Calculator

Let $f(x)$ be a real-valued function defined on the interval $[0,\infty)$, i.e. $|f(x)|$ is finite on this interval, this application calculates Fourier integrals: \[ \begin{align} I_1 &= \int_0^\infty f(x)\sin(\omega x)\;\mathrm{d}x \\ I_2 &= \int_0^\infty f(x)\cos(\omega x)\;\mathrm{d}x \end{align} \] where $\omega$ is a real number.

Examples of functions like $\exp(-x)$ and $\frac{1}{1+x^2}$ can be used with this calculator, but not for function like $f(x)=1+x^2$ as $f(\infty)$ is not finite.

Input Data

The input for function $f(x)$ is the same as used in function derivative. and enter $\omega$ as a real number or math expression of real numbers.

Fourier Integral Calculator