No problem, Double Integral!

Calculus Level 5

If $\large \displaystyle \int_{0}^{\infty} \dfrac{\sin^3 x}{x^3} dx \ = \ A$ and $\large \displaystyle \int_{0}^{\infty} \left (\dfrac{x - \sin x}{x^3} \right ) dx \ = \ \dfrac{m A}{n}$ where $m$ and $n$ are positive relative coprimes, then what is $m+n$ ?.