Find the Center of Mass of the Lamina That Occupies $x ^ { 2 } + y ^ { 2 } \leq 1$

Essay

Find the center of mass of the lamina that occupies the part of the disk $x ^ { 2 } + y ^ { 2 } \leq 1$ in the first quadrant if the density at any point is proportional to the square of its distance from the origin.