Question Number 215033 by MrGaster last updated on 27/Dec/24
$$ \\ $$$$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \int_{\mathrm{0}} ^{\mathrm{2}\pi} \frac{\mathrm{sin}\theta−\mathrm{cos}\varphi−\mathrm{sin}\theta\mathrm{cos}\varphi}{\left(\mathrm{2sin}\theta−\mathrm{2cos}\varphi−\mathrm{2sin}\theta\mathrm{cos}\varphi+\mathrm{3}\right)^{\mathrm{3}/\mathrm{2}} }{d}\theta{d}\varphi \\ $$$$ \\ $$