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Fungrim entry: 1a7e22

0sinc2 ⁣(x)dx=π2\int_{0}^{\infty} \operatorname{sinc}^{2}\!\left(x\right) \, dx = \frac{\pi}{2}
\int_{0}^{\infty} \operatorname{sinc}^{2}\!\left(x\right) \, dx = \frac{\pi}{2}
Fungrim symbol Notation Short description
Integralabf(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:
    Formula(Equal(Integral(Pow(Sinc(x), 2), For(x, 0, Infinity)), Div(Pi, 2))))

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2021-03-15 19:12:00.328586 UTC