• The cylindrical shell method

    1. Use the shell method to compute the volume of the solid traced out by rotating the region bounded by the x-axis, the curve y = x3 and the line x = 2 about the y-axis. Here y = x3 and the limits are from x = 0 to x = 2. The integral is:
    2. The region is the region in the first quadrant between the curves y = x2 and . If.
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