The curves are .

Graph the curves on the same graph.

Observe the graph :

The curves intersects at and .

The pink color represents the curve .

The green color represents the curve .

The centroid of the region is .

Where  and .

Centeriod is given by . 

is the mid point of the strip, as the is the -coordinate on the of the points on the strip.

Divide the bounded region into thin vertical strips of width and height when , but when , the length of the strip is .

Height of each strip is because the general point of the upper parabola is and the general point of the lower parabola is .

Therefore .

.

The -coordinate of the centeriod is .

Therefore,the -coordinate of the centroid is .

The -coordinate of the centeriod is . 

Therefore, the -coordinate of the centroid is .

The centroid of the region is .

The graph of the functions and  with the centeroid .

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