Question

2. Set up an integral to find the volume of the solid generated when the region...

2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is

(a) Rotated about the x-axis using shells

(b) Rotated about the x-axis using washers

(c) Rotated about the y-axis using shells

(d) Rotated about the y-axis using washers

(e) Rotated about the line x = −3

(f) Rotated about the line y = −2

(g) Rotated about the line y = 11

(h) Rotated about the line x = 7

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