What is the area bounded by the curves

Question

y = x^2 and y=the square root of x

Answer 1

The curves are .

.

Therefore, the intersection points are (0, 0) and (1, 1).

In this case, the graph of the function is above the graph of the function , over the interval [0, 1].

Therefore, the lower limit of integration x = 0 and upper limit is x = 1.

The area of the region bounded by the curves :

.

Therefore, the area of the region bounded by the given curves is 1/3 sq.units.