find-the-value-of-A-n-0-pi-sin-nt-sint-dt-with-n-N-

Tinku Tara June 4, 2023 Integration 0 Comments

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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