# A beautiful function

Calculus Level 4

$\large \int_0^1 \ln ( \Gamma(x) ) \, dx$

If the value of the integral above is equal to $\dfrac{ \ln(A \pi)}A$

for some constant $$A$$, find $$A$$.

Notation: $$\Gamma(\cdot)$$ denotes the gamma function.

×

Problem Loading...

Note Loading...

Set Loading...