Find the x coordinate of the centroid for the shaded area. Solution We have to locate the x coordinate of the centroid of the shaded area: That is 4.2m by analysising the graph and marking the points . We have to use integration x=2, x=8 X=Total monents /total area=1/A Integrate(1/16)x2=-1/16x. Now with that we will obtain the values of x coordinate at centroid Here it is 4.2m by analysing graph and by verifying with intergration in limits..