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Fungrim entry: cb152f

\int_{0}^{\infty} \operatorname{sinc}(x) \, dx = \frac{\pi}{2}

TeX:

\int_{0}^{\infty} \operatorname{sinc}(x) \, dx = \frac{\pi}{2}

Definitions:

Fungrim symbol	Notation	Short description
`Integral`	$\int_{a}^{b} f(x) \, dx$	Integral
`Sinc`	$\operatorname{sinc}(z)$	Sinc function
`Infinity`	$\infty$	Positive infinity
`Pi`	$\pi$	The constant pi (3.14...)

Source code for this entry:

Entry(ID("cb152f"),
    Formula(Equal(Integral(Sinc(x), For(x, 0, Infinity)), Div(Pi, 2))))

Topics using this entry

Sinc function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC