A solid is obtained by rotating the shaded region about the specified line. about the x-axis 4 3- y = Vx 2 y = 12 - x 1 X 5 10 15 (a) Set up an integral using the method of cylindrical shells for the volume of the solid. V = 2 TTY (12 - x- Vx) |dy X (b) Evaluate the integral to find the volume of the solid