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  1. Multiple Choice: The volume generated by revolving the region enclosed by the graphs of y = 2x and y = 2x2 for 0 ≤ x ≤ 1 about the x-axis is: Homework Help ✎

Sketch the graph and shade flag.

Sketch the axis of rotation. This will help you visualize the resultant 3D solid.

Choose a method:

Determine the bounds of integration by solving a system of equations. You might write your bounds as x- or y- values, depending on the method you chose in the previous step.

Your integrand should should be written in terms of the same variable as the bounds.