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iii B5!" 5. Let R be the region bounded by y = x + 3 and y = x2 + 1. Find the volume of the solid generated when R is revolved about the xaxis. 6. Let R be the region bounded by x = (y 2)2 and x = 4. Find the volume of the solid generated when R is revolved about the yvaxis. 7. Find the volume of the solid generated when the region R bounded by the graph y = 2 sin x and the xwaxis on [0, Jr] is revolved about the line y = 2. 8. Find the volume of the solid generated when the region R in the first quadrant bounded by the graphs of y = 2 x and y = 2 2): is revolved about the line .1: = 3