The region bounded by the curve and the lines and is revolved around the x-axis to form a solid S.
The volume of S by the method of washers is given by the integral .
Find the volume using the method of cylindrical shells. Please show the complete solution (particularly how to find the cross-sectional area), including all work.
At a distance x from the origin, draw cylinder of radius r
r =x^2 + 1
and height dh = dx.
hence the volume of ...
This uses the cylindrical shell method to find volume.