In: Math
Set up an integral to find the volume of the solid generated when the region bounded by y = x^3 and y = x^2 is (a) Rotated about the x-axis using washers (b) Rotated about the y-axis using shells (c) Rotated about the line y = −2 using either washers or shells.
Consider a vertical slice of thickness dx at x units from y-axis. When this slice is rotated about the line y= - 2, it forms a