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Question Number 94123 by  M±th+et+s last updated on 17/May/20

prove that  ∫_0 ^∞ ((sin^(2n) (x))/x^2 )d=∫_0 ^∞ ((sin^(2n−1) (x))/x)dx

$${prove}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{{sin}^{\mathrm{2}{n}} \left({x}\right)}{{x}^{\mathrm{2}} }{d}=\int_{\mathrm{0}} ^{\infty} \frac{{sin}^{\mathrm{2}{n}−\mathrm{1}} \left({x}\right)}{{x}}{dx} \\ $$$$ \\ $$$$ \\ $$

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