Find the center of the mass of a thin plate of constant dens

Find the center of the mass of a thin plate of constant density delta covering the region bounded by the x-axis and the curve y = 2 cos x, - pi/6 le x le pi/6. The center of the mass is located at (x-, y-) = (Type an ordered pair. Round to the nearest hundredth.)

Solution

integral(y dx) = 1

integral(dx ) = PI/3

xcom = 3/PI