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0-2pi-sin-3t-5-3cos-t-dt-0-using-Residue-theorem-




Question Number 65687 by arcana last updated on 01/Aug/19
∫_0 ^(2π)  ((sin(3t))/(5−3cos(t))) dt=0 using  Residue theorem
$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\frac{{sin}\left(\mathrm{3}{t}\right)}{\mathrm{5}−\mathrm{3}{cos}\left({t}\right)}\:{dt}=\mathrm{0}\:\mathrm{using}\:\:\mathrm{Residue}\:\mathrm{theorem} \\ $$