More fun in 2015, Part 19

Calculus Level 3

\[\large \left(\frac{1}{\pi}\int_{0}^{\infty}\frac{\sin(x^{2015})}{{x}}dx\right)^{-1} = \ ?\]

P.S: It helps to use the Dirichlet Integral \(\displaystyle\int_{0}^{\infty}\frac{\sin{x}}{x}dx=\frac{\pi}{2}.\)

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