Category:Definite Integral from 0 to 1 of Logarithm of x by Logarithm of One minus x over One minus x
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This category contains pages concerning Definite Integral: $\ds \int_0^1 \dfrac {\ln x \map \ln {1 - x} } {\paren {1 - x} } \rd x$:
- $\ds \int_0^1 \dfrac {\ln x \map \ln {1 - x} } {\paren {1 - x} } \rd x = \map \zeta 3$
where $\map \zeta 3$ is Apéry's constant: the Riemann $\zeta$ function of $3$.
Pages in category "Definite Integral from 0 to 1 of Logarithm of x by Logarithm of One minus x over One minus x"
The following 3 pages are in this category, out of 3 total.