A calculus problem by Kushal Bose

Calculus Level 5

Evaluate:

\[\large \displaystyle \int_{0}^{\infty} \dfrac{(\ln x)^2}{e^x} \, dx = \gamma^a + \dfrac{\pi^b}{c}\]

If \(a,b,c\) are positive integers then submit your answer as \(a+b+c\)

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