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