A thin sheet of metal of uniform thickness is cut into the shape bounded by the line x=a, y=kx^2 and y=-kx^2 . Find coordinates of center of mass. My attempt at the solution : To apply the formula r(c.m) = (Σm1a1)/Σa1 ; a is the area; we need to know the area but we have just been given the equation of curve. I thought of calculating the area under the graph using integration but even that didn't get me to the answer. Integrating gave the area under one curve = (2*k*a^3)/3 I am not even sure if my approach is correct.