This document provides the steps to calculate the centroid (center of mass) of an area defined by the function y=1/4x^2. It defines the bounds of integration as x1=0 and x2=2. It then calculates the x-coordinate of the centroid (xbar) as 2.667 and the y-coordinate (ybar) as 0.4 by using the standard formulas for centroid of an area with uniform thickness.