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Fungrim entry: 5033c7

π=2e0cos(x)x2+1dx\pi = 2 e \int_{0}^{\infty} \frac{\cos(x)}{{x}^{2} + 1} \, dx
\pi = 2 e \int_{0}^{\infty} \frac{\cos(x)}{{x}^{2} + 1} \, dx
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
ConstEee The constant e (2.718...)
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
Coscos(z)\cos(z) Cosine
Powab{a}^{b} Power
Infinity\infty Positive infinity
Source code for this entry:
    Formula(Equal(Pi, Mul(Mul(2, ConstE), Integral(Div(Cos(x), Add(Pow(x, 2), 1)), For(x, 0, Infinity))))))

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2021-03-15 19:12:00.328586 UTC