Inte-great! returns

Calculus Level 2

$\large \int _{ 1 }^{ {e}^{\pi /4} }{ \cfrac { \tan ( \ln { x } ) }{ x } } \, dx = \, \dfrac{A}{B} \, \ln C$

Given $A$, $B$ and $C$ are positive integers satisfying the equation above, with $A$ and $B$ coprime and $C$ minimised, find $A+B+C$.

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