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A plane lamina with mass density ( x , y ) = 3 + x 2 y 2 occupies the region in the xy -plane

A plane lamina with mass density

(x, y) = 3 + x²y²occupies the region in the xy-plane bounded by x = 0, y = e^x, and y = e. Find the total mass M of the lamina, the moments M_xand M_y, and the center of mass (x, y) of the lamina.

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