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Fungrim entry: 79f20e

G = \int_{0}^{\pi / 4} \frac{x}{\sin(x) \cos(x)} \, dx

TeX:

G = \int_{0}^{\pi / 4} \frac{x}{\sin(x) \cos(x)} \, dx

Definitions:

Fungrim symbol	Notation	Short description
`ConstCatalan`	$G$	Catalan's constant
`Integral`	$\int_{a}^{b} f(x) \, dx$	Integral
`Sin`	$\sin(z)$	Sine
`Cos`	$\cos(z)$	Cosine
`Pi`	$\pi$	The constant pi (3.14...)

Source code for this entry:

Entry(ID("79f20e"),
    Formula(Equal(ConstCatalan, Integral(Div(x, Mul(Sin(x), Cos(x))), For(x, 0, Div(Pi, 4))))))

Topics using this entry

Catalan's constant

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