Fungrim home page

Fungrim entry: ec1435

G=14π/2π/2xsin(x)dxG = \frac{1}{4} \int_{-\pi / 2}^{\pi / 2} \frac{x}{\sin(x)} \, dx
TeX:
G = \frac{1}{4} \int_{-\pi / 2}^{\pi / 2} \frac{x}{\sin(x)} \, dx
Definitions:
Fungrim symbol Notation Short description
ConstCatalanGG Catalan's constant
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
Sinsin(z)\sin(z) Sine
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("ec1435"),
    Formula(Equal(ConstCatalan, Mul(Div(1, 4), Integral(Div(x, Sin(x)), For(x, Neg(Div(Pi, 2)), 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.

2021-03-15 19:12:00.328586 UTC