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Fungrim entry: ed4cca

G=14∫01∫011(x+y)1−x1−y dx dyG = \frac{1}{4} \int_{0}^{1} \int_{0}^{1} \frac{1}{\left(x + y\right) \sqrt{1 - x} \sqrt{1 - y}} \, dx \, dy
TeX:
G = \frac{1}{4} \int_{0}^{1} \int_{0}^{1} \frac{1}{\left(x + y\right) \sqrt{1 - x} \sqrt{1 - y}} \, dx \, dy
Definitions:
Fungrim symbol Notation Short description
ConstCatalanGG Catalan's constant
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Sqrtz\sqrt{z} Principal square root
Source code for this entry:
Entry(ID("ed4cca"),
    Formula(Equal(ConstCatalan, Mul(Div(1, 4), Integral(Integral(Div(1, Mul(Mul(Add(x, y), Sqrt(Sub(1, x))), Sqrt(Sub(1, y)))), For(x, 0, 1)), For(y, 0, 1))))))

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2021-03-15 19:12:00.328586 UTC