$(16$ pts $)$ Consider the region enclosed by $y=x$ and $y=x^2$ for $0x1.$ This region is revolved around the $y-$axis.

$($a$)(8$ pts$)$ Set up $($do not evaluate$)$ the integral for the volume using the cylindrical shells method.

$($b$)(8$ pts$)$ Set up $($do not evaluate$)$ the integral for the volume using the washers method.

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