Inspired by Kishore S Shenoy

Calculus Level 5

01ln(1+xx2)xdx \large \int_0^1 \dfrac{\ln(1+x-x^2)}x \, dx

If the value of the integral above is equal to 2(lnA)2 2 (\ln A)^2 , find A(A33)A(A^3- 3) .


Inspiration.

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