Fungrim entry: c93b81

\int_{a}^{b} \sin\!\left(z\right) \, dz = \cos\!\left(a\right) - \cos\!\left(b\right)

Assumptions:

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

TeX:

\int_{a}^{b} \sin\!\left(z\right) \, dz = \cos\!\left(a\right) - \cos\!\left(b\right)

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

Definitions:

Fungrim symbol	Notation	Short description
`Sin`	$\sin\!\left(z\right)$	Sine
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("c93b81"),
    Formula(Equal(Integral(Sin(z), Tuple(z, a, b)), Sub(Cos(a), Cos(b)))),
    Variables(a, b),
    Assumptions(And(Element(a, CC), Element(b, CC))))

Topics using this entry

Sine

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC