Question Number 55759 by maxmathsup by imad last updated on 03/Mar/19
$${calculate}\:{I}\:=\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{cost}}{\mathrm{3}\:+{sin}\left(\mathrm{2}{t}\right)}{dt}\:{and}\:{J}\:=\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{sint}}{\mathrm{3}\:+{cos}\left(\mathrm{2}{t}\right)}{dt}\:. \\ $$
Answered by MJS last updated on 04/Mar/19
$$\mathrm{both}\:\mathrm{are}\:\mathrm{zero}\:\mathrm{because}\:\mathrm{of}\:\mathrm{full}\:\mathrm{periods} \\ $$