# Another Logarithm Problem.(14)

Calculus Level 5

$\large \displaystyle \int_1^\infty \left(\frac{\ln x}{x} \right)^{2011} dx = \frac{b!}{a^c}$

If the above equation is true, where $$a$$, $$b$$, and $$c$$ are positive integers, find $$a + b + c$$.

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