find-A-n-0-2pi-sin-2-x-sin-2-nx-2-dx-n-gt-0-

Tinku Tara June 3, 2023 Integration

Question Number 65774 by mathmax by abdo last updated on 03/Aug/19

find A_n = ∫_0 ^(2π) ((sin^2 x)/(sin^2 (((nx)/2))))dx (n>0)

$${find}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\:\frac{{sin}^{\mathrm{2}} {x}}{{sin}^{\mathrm{2}} \left(\frac{{nx}}{\mathrm{2}}\right)}{dx}\:\:\:\:\left({n}>\mathrm{0}\right) \\ $$

Facebook Tweet Pin