# Calculus Ultimatum!

Calculus Level 4

$\displaystyle \large I=\int^{\infty}_{0} \dfrac{(x\cos x-\sin x)^2}{x^6} \, dx$

Find the value of $$\lfloor{1000I} \rfloor$$.

Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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