Dirichlet integral

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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 number line. ∫ 0 ∞ sin ⁡ x x d x = π 2 . {\displaystyle \int _{0}^{\infty }{\frac {\sin x}{x}}\,dx={\frac {\pi }{2}}.} This integral, which is closely related to the alternating harmonic series , is not absolutely convergent, meaning | sin ⁡ x x...

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