${\displaystyle \underset{\sqrt[\phantom{2}]{y}}{\overset{1}{}}}\frac{(y{e}^{x^2})}{x^3}dx$

Compute the double integral

${}_D$xdA

where $Dis$ the region $in$ the first quadrant that lies between the circles $x^2+y^2=1$ and

$x^2+y^2=2.$