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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