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(20 pts) Use Shell method to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the

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(20 pts) Use Shell method to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. (Remember to draw the region bounded by the curves.) y = x2 +2, y = 0,x = 0, and x = 1 about the axis x = 3

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