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

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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