Evaluate ( ).

MATHEMATICS · Subjective · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate ∫01ln⁡(1−a2x2)x21−x2dx\int_{0}^{1} \frac{\ln(1-a^2x^2)}{x^2\sqrt{1-x^2}} dx ( a2<1a^2 < 1 ).

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