Calculate the volume of revolution

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Consider the region R = {(x, y) ∈ R^2| 0 ≤ x ≤ 1 and 0 ≤ y ≤ e^2x}.

(a) Draw R and calculate the volume of revolution obtained by rotating region R about the y-axis.

(b) Rotate region R about the line y = -1 and find the volume of the resulting solid.

Reference no: EM131088949

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