A calculus problem by Hummus a

Calculus Level 5

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

If the equation above holds true for positive integers \( a\) and \(b\), find \(a\times b\).

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