Integrating logarithms

Calculus Level 4

\[\large \int_0^\infty \dfrac{\ln(1+x^2)}{(1+x^2)}\; dx\]

If the value of the above integral can be written as \(A\pi\ln(B)\) for positive integers \(A\) and \(B\), then enter the value of \(10A+11B\).

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