# Who's up to the challenge? 46

Calculus Level 5

$\large \int _{ 0 }^{ \infty }{ \dfrac { x\ln { x } }{ { e }^{ \sqrt { x } } } \, dx } =a-b\gamma$

If the equation above holds true for positive integers $$a$$ and $$b$$, find $$a+b$$.

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

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