Who's up to the challenge?15

Calculus Level 5

\(\displaystyle\int _{ 0 }^{ \infty }{ (\frac { x }{ { x }^{ 2 }+1 } )^{ 5 }[\ln { ( } \frac { x }{ { x }^{ 2 }+1 } )]\frac { dx }{ { x }^{ 2 } } = } -\frac { A }{ B } \)

If the equation above holds true for coprime positive integers \(A,B,\), find \(B-A-104\).


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