Let R Be Region Bounded by the Graph Of $f ( x ) = x ^ { 2 } , g ( x ) = \frac { 1 } { x }$

Essay

Let R be region bounded by the graph of $f ( x ) = x ^ { 2 } , g ( x ) = \frac { 1 } { x }$ , and the line y = 3.(a) Find the volume of the solid obtained by rotating R about the x-axis.(b) Find the volume of the solid obtained by rotating R about the y-axis.(c) Find the volume of the solid obtained by rotating R about the line y = 3.(d) Find the volume of the solid obtained by rotating R about the line x = 2.