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Fungrim entry: be0f54

∫0∞sinc⁡3 ⁣(x) dx=3π8\int_{0}^{\infty} \operatorname{sinc}^{3}\!\left(x\right) \, dx = \frac{3 \pi}{8}
TeX:
\int_{0}^{\infty} \operatorname{sinc}^{3}\!\left(x\right) \, dx = \frac{3 \pi}{8}
Definitions:
Fungrim symbol Notation Short description
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Powab{a}^{b} Power
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Infinity∞\infty Positive infinity
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("be0f54"),
    Formula(Equal(Integral(Pow(Sinc(x), 3), For(x, 0, Infinity)), Div(Mul(3, Pi), 8))))

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2021-03-15 19:12:00.328586 UTC