Integrating logarithms

Calculus Level 4

0ln(1+x2)(1+x2)  dx\large \int_0^\infty \dfrac{\ln(1+x^2)}{(1+x^2)}\; dx

If the value of the above integral can be written as Aπln(B)A\pi\ln(B) for positive integers AA and BB, then enter the value of 10A+11B10A+11B.

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