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Categories: Calculus | Special functions

Dirichlet integral

In mathematics, there are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet.

One of those is

$\int_0^\infty \frac{sin(\omega)}{\omega}\,d\omega = \frac{\pi}{2}$

This can be proven using a Fourier integral representation.

External link

MathWorld page

Categories: Calculus | Special functions

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