Menu Close

calculate-D-xy-dxdy-with-D-x-y-R-2-x-y-2-2x-and-xy-0-




Question Number 36948 by maxmathsup by imad last updated on 07/Jun/18
calculate   ∫∫_D (√(xy)) dxdy  with  D={(x,y)∈R^2  / (x+y)^2  ≥2x  and xy≥0}
$${calculate}\:\:\:\int\int_{{D}} \sqrt{{xy}}\:{dxdy}\:\:{with} \\ $$$${D}=\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} \:/\:\left({x}+{y}\right)^{\mathrm{2}} \:\geqslant\mathrm{2}{x}\:\:{and}\:{xy}\geqslant\mathrm{0}\right\} \\ $$
Commented by ajfour last updated on 07/Jun/18
shouldn′t it be    (x+y)^2  ≤ 2x    ?
$${shouldn}'{t}\:{it}\:{be} \\ $$$$\:\:\left({x}+{y}\right)^{\mathrm{2}} \:\leqslant\:\mathrm{2}{x}\:\:\:\:? \\ $$
Commented by prof Abdo imad last updated on 07/Jun/18
no sir Ajfour ...
$${no}\:{sir}\:{Ajfour}\:… \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *