# A nice integral

Calculus Level 4

If $$\displaystyle \int_{1}^{\infty} \bigg(\frac{\ln x}{x}\bigg)^{2014} dx$$ can be expressed as $$\displaystyle \frac{p!}{q^r}$$, where $$p,q,r$$ are integers, find $$p+q+r$$.

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