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Question Number 27788 by abdo imad last updated on 14/Jan/18

find the value of   A_n = ∫_0 ^π   ((sin(nt))/(sint))dt  with n∈N^∗  .

$${find}\:{the}\:{value}\:{of}\:\:\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\pi} \:\:\frac{{sin}\left({nt}\right)}{{sint}}{dt}\:\:{with}\:{n}\in{N}^{\ast} \:. \\ $$

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