Given the region bounded by the graphs of y = x sin x, y = 0, x
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Given the region bounded by the graphs of y = x sin x, y = 0, x = 0, and x = π, find
(a) The area of the region.
(b) The volume of the solid generated by revolving the region about the x-axis.
(c) The volume of the solid generated by revolving the region about the y-axis.
(d) The centroid of the region.
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