Please remember to combine the integrals; polar coordinates can be used!

Combine the following sum into one double integral. Do not evaluate the integral.

$\backslash$int$\_((1)/(\backslash$sqrt$(2)))^1\backslash$int$\_(\backslash$sqrt$(1-$x$^(2)))^$x xydydx$+\backslash$int$\_1^(\backslash$sqrt$(2))\backslash$int$\_0^$x xydydx$+\backslash$int$\_(\backslash$sqrt$(2))^2\backslash$int$\_0^(\backslash$sqrt$(4-$x$^(2)))$ xydydx