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Let B be the region bounded by the part of the curve y = sin x,...

Let B be the region bounded by the part of the curve y = sin x, 0 ≤ x ≤ π, and the x-axis. Express (do not evaluate) the volume of the solid obtained by rotating the region B about the y-axis as definite integrals

a) using the cylindrical shell method

b) using the disk method

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