**Example 2:** Determine the centroidal coordinates of the
parabola shown below.

**Solution:** We begin by identifying the
differential length and expressing it in terms of dx as

The centroid of the differential length is at x,y from the origin of the coordinate system. Now, using the integral equations for and we solve for the location of centroid as

= 2.79 cm |

and

= 1.58 cm |