$1.$ Let $\backslash ($ S $\backslash )$ be the region bounded by the curves $\backslash ($ y$=-$x $\backslash )$ and $\backslash ($ y$=$x$^\{2\}\backslash )$ in the second quadrant. $($a$)$ Set up an integral expression $($Do not Calculate the Integral$)$ calculating the volume of the solid obtained by rotating $\backslash ($ S $\backslash )$ about the line $\backslash ($ y$=-3\backslash ).($b$)$ Calculate the volume of the solid obtained by rotating $\backslash ($ S $\backslash )$ around the $\backslash ($ y $\backslash )-$axis.