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Fungrim entry: 49df16

G = \int_{1}^{\infty} \frac{\log(x)}{{x}^{2} + 1} \, dx

TeX:

G = \int_{1}^{\infty} \frac{\log(x)}{{x}^{2} + 1} \, 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
`Pow`	${a}^{b}$	Power
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("49df16"),
    Formula(Equal(ConstCatalan, Integral(Div(Log(x), Add(Pow(x, 2), 1)), For(x, 1, 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