Find the area if the region bounded by `y=sqrtx" and " y=x`.

Answer

N/a

Explanation

Given equation of curves are `y=sqrtx" and "y=x`.
`rArr x=sqrtxrArrx^(2)=x`
`rArr x^(2)-x=0rArrx(x-1)=0`
`rArr x=0. 1`

`:." Required area of shaded region, " A=int_(0)^(1)(sqrtx)dx-int_(0)^(1)xd`
`=[2.(x^(3//2))/3]_(0)^(1)-[(x^(2))/2]_(0)^(1)`
`=2/3 .1-1/2=2/3-1/2=1/6" sq units"`