The curves are  and .

Graph the curves and on the same graph.

Observe the graph :

The curve intersects at and .

The centroid of the region is .

Where  and .

The pink color represents the curve .

The green color represents the line .

Divide the region enclosed between the curve and the line into thin vertical strips of width

and length .

So the area of each strip is .

Centeriod is given by ..

The coordinate of the centeriod is .

Substitute ,in the above equation.

.

Consider .

Consider .

Therefore, the -coordinate for the center of mass is .

The -coordinate of the centeriod is .

Where is centeriod of the thin vertical strip ,which is simply the midpoint if the strip. .

Consider .

Therefore, the -coordinate of the centeriod is .

Therefore, the centroid is .

The centroid of the region is .

The graph of the functions of  and  with the centeroid .

.