the area between the curves `y= x^2` and `y =4x` is

Explanation

Given curves are `x^2=y and y=4x`
Intersection points are `(0,0) and (4,16)`
Required Area `= int_0^4(4x-x^2)dx`
`[(4x^2)/2-x^3/3]_0^4`
`[32-64/3]`
`=32/3`sq unit