# Curious Integrals

Calculus Level 2

If $A=\int _{ 0 }^{ 1 }{ { \left( 1-{ x }^{ 1/p } \right) }^{ q } } dx$ and $B=\int _{ 0 }^{ 1 }{ { \left( 1-{ x }^{ 1/q } \right) }^{ p} } dx,$ for $$p > 0$$ and $$q > 0$$, what is the value of $A - B?$

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