Question Number 40888 by prof Abdo imad last updated on 28/Jul/18
![prove that ∀ξ ∈]0,π[ ∣∫_ξ ^π (((sint)/t))^n dt∣≤π(((sinξ)/ξ))^n n integr natural](https://www.tinkutara.com/question/Q40888.png)
$$\left.{prove}\:{that}\:\forall\xi\:\in\right]\mathrm{0},\pi\left[\right. \\ $$$$\mid\int_{\xi} ^{\pi} \left(\frac{{sint}}{{t}}\right)^{{n}} {dt}\mid\leqslant\pi\left(\frac{{sin}\xi}{\xi}\right)^{{n}} \:\:{n}\:{integr}\:{natural} \\ $$