Fungrim home page

Fungrim entry: 859856

π=8(0cos ⁣(x2)dx)2\pi = 8 {\left(\int_{0}^{\infty} \cos\!\left({x}^{2}\right) \, dx\right)}^{2}
TeX:
\pi = 8 {\left(\int_{0}^{\infty} \cos\!\left({x}^{2}\right) \, dx\right)}^{2}
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Powab{a}^{b} Power
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
Coscos(z)\cos(z) Cosine
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("859856"),
    Formula(Equal(Pi, Mul(8, Pow(Integral(Cos(Pow(x, 2)), For(x, 0, Infinity)), 2)))))

Topics using this entry

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