$[$C$]$ Consider the following iterated integral.

${\displaystyle \underset{-2}{\overset{0}{}}}{\displaystyle \underset{-\sqrt[\phantom{2}]{4-y^2}}{\overset{\sqrt[\phantom{2}]{4-y^2}}{}}}[\frac{xy}{3-cos(x^2{y}^2)}]dxdy$

$($C$\mathrm{.}1)$ Sketch the region of integration.

$($C$\mathrm{.}2)$ Rewrite the integral in the order $dydx.$ Do NOT evaluate it$.$

$($C$\mathrm{.}3)$ Rewrite the integral in polar coordinates. Do NOT evaluate it$,$ but simplify the integrand the results as much as possible $($but no antiderivatives$).$