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Fungrim entry: a0b0b3

∫0∞∣sinc⁡(x)∣ dx=+∞\int_{0}^{\infty} \left|\operatorname{sinc}(x)\right| \, dx = +\infty
TeX:
\int_{0}^{\infty} \left|\operatorname{sinc}(x)\right| \, dx = +\infty
Definitions:
Fungrim symbol Notation Short description
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Abs∣z∣\left|z\right| Absolute value
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("a0b0b3"),
    Formula(Equal(Integral(Abs(Sinc(x)), For(x, 0, Infinity)), Pos(Infinity))))

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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