Please note: Harsh is not harsh

Calculus Level 4

\[\large\int_{1}^{\infty} \dfrac{\ln^3(x)}{x^2-x} \, dx\]

If the above integral can be expressed as \(\dfrac{A\pi^{B}}{C}\) for some coprime integers \(A,B,C\) , compute \(A+B+C\).


This problem is original and is dedicated to Harsh S
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