The area enclosed between the curves `y = x^(3)` and `y = sqrt(x)` is

Options

A. `5//3`
B. `5//4`
C. `5//12`
D. `12//5`

Answer

C

Explanation

On solving `y=sqrt(x) and y=x^(3)`, we get points of intersection which are (0,0) and (1,1)
`therefore` Required area=`int_(0)^(1)(sqrt(x)-x^(3))dx`
`=[(x^(3//2))/(3//2)-(x^(4))/(4)]_(0)^(1)=(5)/(12)sq` unit.