A calculus problem by Hummus a

Calculus Level 4

\[ \large \displaystyle\int _{ 0 }^{ 1 }{ \dfrac { \ln { (1-{ x }^{ 2 }) } }{ x } \, dx } =-\dfrac { \zeta (a) }{ b } \]

The equation above holds true for positive integers \(a\) and \(b\). Find \(a^b\).

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