Over the next few parts, we will evaluate a double integral over a region.

$($a$)$ Graph the region $R$ bounded by the graphs $y=x^2$ and $y=\sqrt[\phantom{2}]{x}.$

$($b$)$ Fill the following description of $R$ using part $($a$).$

$q,xq,$

$q,y$

$($c$)$ Evaluate the following integral over the region $R$ determined in part $($b$).$

${}_{R}12xyd$

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