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(b) Consider the plane region bounded by the curves y = 3x - 2x and y = x for x > 0. Find the

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(b) Consider the plane region bounded by the curves y = 3x - 2x and y = x for x > 0. Find the volume of each of the two solids obtained by rotating this plane region (i) about the x-axis; (ii) about the y-axis. (c) Obtain an iterative reduction formula for I = ["e 3dx. Evaluate Io. Then, using the reduction formula obtained, evaluate I and I.

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