Logarithm,Double integrals

Calculus Level 5

0101ln2(1xy)xy dx dy \displaystyle \int _{ 0 }^{ 1 }\int _{ 0 }^{ 1 } \dfrac { { \ln }^{ 2 }(1-xy) }{ xy } \ dx \ dy

If the double integral above can be represented as πAB \dfrac { { \pi }^{ A } }{ B } , where A,BA,B are positive integers, find A2+B232236A^2+B^2-32236.

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