The function are  and , and .

Centroid:

If the region lies between two curves and , where , the centroid of is , where and .

Observe the graph:

on to .

Find area of the region.

.

Step 2:

The centroid is .

Substitute ,  and  in .

Integral formula : .

.

Step 3:

.

Substitute ,  and  in .

Integral formula : .

The centroid of the region is .

Solution:

The centroid of the region is .