Use the shell method to find the volume of the solid that is formed by revolving the area bounded by y=x and y=x^3 about the x-axis.

Find the volume of the area bounded by the curves x=4-y^2, y=, and x=0 rotated about the line y=1. Use the shell method.

Find the volume of the solid bounded by the curves y=2x-x^2, y=0, and x=1 revolved about the line x=1.