Question

1. Use the shell method to set up and evaluate the integral that gives the volume...

1. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the line x=4.

y=x^2 y=4x-x^2

2. Use the disk or shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line.

y=x^3 y=0 x=2

a) x-axis b) y-axis c) x=4

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