Let $R$ be the region bounded by the curves $f ( x ) = \frac { 4 } { x }$ and $g ( x ) = ( x - 3 ) ^ { 2 }$. (a) Find the area of R . (b) Find the volume of the solid generated by revolving R about the X -axis.
$\left\{ \begin{array} { l } 1 : y ( t ) = \int v ( t ) d t \\ 1 : y ( t ) = - \frac { 1 } { 2 } \cos t ^ { 2 } + C \\ 1 : y ( 2 ) \end{array} \right.$
Let $R$ be the region bounded by the curves $f ( x ) = \frac { 4 } { x }$ and $g ( x ) = ( x - 3 ) ^ { 2 }$.
(a) Find the area of R .
(b) Find the volume of the solid generated by revolving R about the X -axis.