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The volume of the solid obtained by rotating the region bounded by about the line x = y = x, y = 3x, 3

 

The volume of the solid obtained by rotating the region bounded by about the line x = y = x, y = 3x, 3 can be computed using the method of washers via an integral with limits of integration a = and b = V = a The volume of this solid can also be computed using cylindrical shells via an integral V = L ? with limits of integration a = In either case, the volume is V = and = | cubic units.

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