Find the area of the region bounded by y = √x and y = x.

Find the area of the region bounded by y = √x and y = x.

We have y = √x and y = x,Solving, we get,x = √x ,⇒ x,2, = x,⇒ x,2, - x = 0,At x = 0, y = 1,Thus curves intersect at (0,0) and (1,1),Graph of y =  √x is part of parabola lying above x - axis . ,The graph is as shown in the adjacent figure.,From the figure, area of shaded region.