Fungrim entry: d6c29e

\int_{a}^{b} \operatorname{sinc}(x) \, dx = \operatorname{Si}(b) - \operatorname{Si}(a)

Assumptions:

a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}

TeX:

\int_{a}^{b} \operatorname{sinc}(x) \, dx = \operatorname{Si}(b) - \operatorname{Si}(a)

a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`Integral`	$\int_{a}^{b} f(x) \, dx$	Integral
`Sinc`	$\operatorname{sinc}(z)$	Sinc function
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("d6c29e"),
    Formula(Equal(Integral(Sinc(x), For(x, a, b)), Sub(SinIntegral(b), SinIntegral(a)))),
    Variables(a, b),
    Assumptions(And(Element(a, CC), Element(b, CC))))

Topics using this entry

Sinc function

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