# Who's up to the challenge? 55

Calculus Level 5

$\large \int _{ 0 }^{ \infty }{ \dfrac { { x }^{ 2 }\ln { (2x) } }{ { e }^{ x } } \, dx } =\ln { a } +b-c\gamma$

If the above equation holds true for positive integers $$a,b$$ and $$c$$, where $$\gamma$$ denotes the Euler-Mascheroni constant, find $$a+b+c$$.

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