# A Beautiful Integral

Calculus Level 4

$\large \displaystyle \int_0^1 \dfrac{\ln (1-x) }{x} \, dx$ If the integral above can be expressed as $$-\dfrac AB \pi^C$$, where $$A,B$$ and $$C$$ are positive integers with $$A$$, and $$B$$ being coprime integers, find $$A+B+C$$.

×