Inspired By Kishore S Shenoy

Calculus Level 5

\[ \large \int_0^\infty \left( \dfrac{x \ln x} {1+x^2} \right)^2 \, dx = \dfrac{A\pi^B}C \]

If the equation above holds true for positive integers \(A,B\) and \(C\), where \(A,C\) are coprime, find \(A+B+C\).


Inspiration.

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