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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