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Fungrim entry: e09b77

G = -2 \int_{0}^{\pi / 4} \log\!\left(2 \sin(x)\right) \, dx

TeX:

G = -2 \int_{0}^{\pi / 4} \log\!\left(2 \sin(x)\right) \, dx

Definitions:

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

Source code for this entry:

Entry(ID("e09b77"),
    Formula(Equal(ConstCatalan, Neg(Mul(2, Integral(Log(Mul(2, Sin(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