# Who's up to the challenge? 57

Calculus Level 5

$\large \int_0^\infty \left( \dfrac{ \ln x}{e^x } \right)^2 \, dx = \dfrac{\pi^A}B + \dfrac{\gamma^C}D + E \gamma \ln F + \dfrac GH (\ln I)^J$

If the equation above holds true, where $$A,B,C,D,E,F,G,H$$ and $$I$$ are positive integers, find $$A+B+C+D+E+F+G+H+I+J$$.

Notation: $$\gamma$$ denotes the Euler-Mascheroni constant, $$\gamma \approx 0.5772$$.

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