# 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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