$5.$ Surface Area. The graph of $\backslash ($ y$^\{2\}=$x$^\{3\}\backslash )$ from $\backslash ((0,0)\backslash )$ to $\backslash ((4,8)\backslash )$ is rotated about the $\backslash ($ y $\backslash )-$axis to form a surface. a$)$ Set up the integral with respect to $\backslash (\backslash$boldsymbol$\{$x$\}\backslash )$ that represents the lateral surface area. b$)$ Set up the integral with respect to $\backslash (\backslash$boldsymbol$\{$y$\}\backslash )$ that represents the lateral surface area. $5.($Continued$)$ Choose one of the integrals from parts $($a$)$ and $($b$)$ and use a CAS to find the exact value of the surface area. SURFACE AREA: