Question Number 34293 by math khazana by abdo last updated on 03/May/18
$${calculate}\:\int\int_{{D}} \:\:{x}^{\mathrm{2}} {y}\:{dxdy}?\:\:{with} \\ $$$${D}\:=\:\left\{\left({x},{y}\right)\in\:{R}^{\mathrm{2}} \:/\:\mathrm{0}\leqslant{y}\leqslant\mathrm{1}−{x}^{\mathrm{2}} \:,\mid{x}+{y}\:+\mathrm{3}\mid\:\leqslant\mathrm{5}\right\} \\ $$