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5) (18 points) Use the method of cylindrical shells (for all parts) to set up an integral to find the volume of the solid obtained

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5) (18 points) Use the method of cylindrical shells (for all parts) to set up an integral to find the volume of the solid obtained by rotating the region bounded by y = x2 + 1, y = 19 -x2 , x = 0, for x2 0 about . (5 points) the y-axis. (Set up the integral to find the volume, but do not evaluate) b. (5 points) the line x = 8. (Set up the integral to find the volume, but do not evaluate) c. (8 points) the x-axis. (Set up the integral to find the volume, but do not evaluate) 6

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