Find mass M and centroid (X,Y) of the region enclosed by the two functions in the following figure, where a = 5. Note that when the density & of a solid object or plate is constant, the center of mass is called the centroid of the object. y = a sin x +² y = x² 0 -π -*/2 0 π/2 πT (Click on the graph for a larger version) M = δ X = Y =