Definition:First Lemniscate Constant/Mistake

Source Work

 * Thème et variations
 * $1,31102 87771 46059 90523 \ldots$
 * $1,31102 87771 46059 90523 \ldots$

Mistake

 * Constante de la lemniscate. Elle est égale à :
 * $\dfrac 1 2 \displaystyle \int_0^1 \dfrac {\d x} {1 - x^4} = \dfrac {\map {\Gamma^2} {1/4} } {4 \sqrt {2 \pi} }$

Correction
The expression is incorrect.

It should read:


 * $\displaystyle \int_0^1 \dfrac {\d x} {\sqrt {1 - x^4} } = \dfrac {\map {\Gamma^2} {1/4} } {4 \sqrt {2 \pi} }$