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Fungrim entry: fc5ea9

G = \int_{0}^{\infty} \operatorname{atan}\!\left({e}^{-x}\right) \, dx

TeX:

G = \int_{0}^{\infty} \operatorname{atan}\!\left({e}^{-x}\right) \, dx

Definitions:

Fungrim symbol	Notation	Short description
`ConstCatalan`	$G$	Catalan's constant
`Integral`	$\int_{a}^{b} f(x) \, dx$	Integral
`Atan`	$\operatorname{atan}(z)$	Inverse tangent
`Exp`	${e}^{z}$	Exponential function
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("fc5ea9"),
    Formula(Equal(ConstCatalan, Integral(Atan(Exp(Neg(x))), For(x, 0, Infinity)))))

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