Question: Given the region bounded by the graphs of y = x sin x, y = 0, x = 0, and x = , find (a)

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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