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prove-that-0-sinx-x-7-5887pi-23040-




Question Number 111614 by mathdave last updated on 04/Sep/20
prove that   ∫_0 ^∞ (((sinx)/x))^7 =((5887π)/(23040))
$${prove}\:{that}\: \\ $$$$\int_{\mathrm{0}} ^{\infty} \left(\frac{\mathrm{sin}{x}}{{x}}\right)^{\mathrm{7}} =\frac{\mathrm{5887}\pi}{\mathrm{23040}} \\ $$

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