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You are given that ∫0∞sinxx dx=π2. \displaystyle \int_0^\infty \frac { \sin x}{x} \, d x = \frac {\pi}{2}. ∫0∞xsinxdx=2π. If the value of ∫0∞sin8xx4 dx\displaystyle \int_0^\infty \frac { \sin^8 x}{x^4} \, dx ∫0∞x4sin8xdx is equal to abπ \dfrac ab\pibaπ for coprime positive integers aaa and bbb. What is the value of a+ba+ba+b?
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