# 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 $$A+B+C$$.

×