A solid is obtained by rotating the shaded region about the specified line. about the y-axis The x y-coordinate plane is given. A curve and a shaded region are on the graph. The curve enters the window at the point (0, 4), goes down and right becoming more steep and exits the window at the approximate point (1.3, 0). The shaded region is below the curve and above the x-axis from x = 0 to x = 1.3.
(a)Set up an integral using the method of cylindrical shells for the volume of the solid.
V =ðâ2dx
(b)
Evaluate the integral to find the volume of the solid.