Fourier Integral Calculator

Let $f(x)$ be a real-valued function defined on the interval $[0,\mathrm{\infty })$, i.e. $|f(x)|$ is finite on this interval, this application calculates Fourier integrals: $$\begin{array}{rl}{I}_1& ={\int }_0^{\mathrm{\infty }}f(x)\sin (\omega x)\mathrm{d}x\\ I_2& ={\int }_0^{\mathrm{\infty }}f(x)\cos (\omega x)\mathrm{d}x\end{array}$$ 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 $f(\mathrm{\infty })$ 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