A calculus problem by Hamza A

Calculus Level 4

01ln(x2)x21dx=πab \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 a and bb, find a×ba\times b.

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