# Hyperbolic Integral

Calculus Level 5

$\large \int_0^\infty \dfrac{ \ln x}{\cosh^2 x} \, dx =\ln{ \left( \frac { A\pi }{ B } \right) } -C\gamma$

The equation above holds true for positive integers $$A, B$$ and $$C$$, with $$A,B$$ coprime. Find $$A+B+C$$.

Notation: $$\gamma$$ denote the Euler-Mascheroni constant.

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