Fungrim home page

Fungrim entry: 1a7e22

0sinc2 ⁣(x)dx=π2\int_{0}^{\infty} \operatorname{sinc}^{2}\!\left(x\right) \, dx = \frac{\pi}{2}
TeX:
\int_{0}^{\infty} \operatorname{sinc}^{2}\!\left(x\right) \, dx = \frac{\pi}{2}
Definitions:
Fungrim symbol Notation Short description
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
Powab{a}^{b} Power
Sincsinc(z)\operatorname{sinc}(z) Sinc function
Infinity\infty Positive infinity
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("1a7e22"),
    Formula(Equal(Integral(Pow(Sinc(x), 2), For(x, 0, Infinity)), Div(Pi, 2))))

Topics using this entry

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

2020-08-27 09:56:25.682319 UTC