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Fungrim entry: 6d3591

G=20π/4log ⁣(2cos(x))dxG = 2 \int_{0}^{\pi / 4} \log\!\left(2 \cos(x)\right) \, dx
TeX:
G = 2 \int_{0}^{\pi / 4} \log\!\left(2 \cos(x)\right) \, dx
Definitions:
Fungrim symbol Notation Short description
ConstCatalanGG Catalan's constant
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
Loglog(z)\log(z) Natural logarithm
Coscos(z)\cos(z) Cosine
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("6d3591"),
    Formula(Equal(ConstCatalan, Mul(2, Integral(Log(Mul(2, Cos(x))), For(x, 0, Div(Pi, 4)))))))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC