Define R as the region bounded by the functions f(x) = x^2 / 3 + 1 and g(x) = x between x = 1 and x = 2. If R is rotated around the x-axis, what is the volume of the resulting solid? Submit an exact answer in terms of π.

Define R as the region bounded by the functions f(x) = x^2 / 3 + 1 and g(x) = x between x = 1 and x = 2. If R is rotated around the x-axis, what is the volume of the resulting solid? Submit an exact answer in terms of π.

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Define R as the region bounded by the functions f(x) = x^2 / 3 + 1 and g(x) = x between x = 1 and x = 2. If R is rotated around the x-axis, what is the volume of the resulting solid? Submit an exact answer in terms of π.

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