# Who's up to the challenge? 2

Calculus Level 5

$\large \int_0^\infty \dfrac{x^9 \ln x}{e^x} \, dx$

If the above integral can be expressed as $144(B -C\gamma),$ where $$B$$ and $$C$$ are integers, find $$B+C+144$$.

Notation: $$\gamma$$ denotes the Euler-Mascheroni constant $\displaystyle \gamma = \lim_{n\to\infty} \left( - \ln n + \sum_{k=1}^n \dfrac1k \right) \approx 0.5772 .$

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