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Fungrim entry: 122e3d

∫0zsinc⁡(x) dx=Si⁡(z)\int_{0}^{z} \operatorname{sinc}(x) \, dx = \operatorname{Si}(z)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\int_{0}^{z} \operatorname{sinc}(x) \, dx = \operatorname{Si}(z)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("122e3d"),
    Formula(Equal(Integral(Sinc(x), For(x, 0, z)), SinIntegral(z))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC