A nice integral

Calculus Level 4

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

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