Question Number 26758 by abdo imad last updated on 28/Dec/17
$${let}\:{give}\:{D}=\left\{\left(\:\:{x},{y}\:\right)\in\mathbb{R}^{\mathrm{2}} /{x}^{\mathrm{2}} −{x}\:+{y}^{\mathrm{2}} \leqslant\:\mathrm{4}\:{and}\:\:\mathrm{0}\leqslant{y}\leqslant\mathrm{1}\right\} \\ $$$${calculate}\:\int\int_{{D}} {ln}\left({xy}\right)\sqrt{\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} {dxdy}\:\:} \\ $$
Commented by abdo imad last updated on 28/Dec/17
$${calculate}\:\int\int_{{D}} {ln}\left({xy}\right)\:\sqrt{\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}\:} }{dxdy} \\ $$