Dirichlet integral
id:
dirichlet-integral-283-358897
title:
Dirichlet integral
text:
In mathematics, there are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet, one of which is the improper integral of the sinc function over the positive real line: This integral is not absolutely convergent, meaning | sin x x | has infinite Lebesgue or Riemann improper integral over the positive real line, so the sinc function is not Lebesgue integrable over the positive real line. The sinc function is, however, integrable in the
brand slug:
wiki
category slug:
encyclopedia
description:
Integral of sin(x)/x from 0 to infinity.
original url:
https://en.wikipedia.org/wiki/Dirichlet_integral
date created:
date modified:
2024-02-03T07:31:53Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/09/Dirichlet_3.jpeg","width":241,"height":326}
fields total:
13
integrity:
15