# A calculus problem by Hummus a

Calculus Level 3

$\large \displaystyle\int _{ 0 }^{ 1 }{ \frac { \ln { (x) } }{ 1-x } \, dx } =-\zeta(a)$

The equation above holds true for some constant $$a$$. Find $$a$$.

Notation: $$\zeta(\cdot)$$ denotes the Riemann zeta function.

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