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Integralshard
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Find the volume of the solid formed by rotating the region bounded by y=xcos⁡(x)y = \sqrt{x} \cos(x)y=x​cos(x) and y=0y=0y=0 for x∈[0,π/2]x \in [0, \pi/2]x∈[0,π/2] about the yyy-axis.