Find the area of the region bounded by `y=sqrt(x)a n dy=xdot`

Explanation

Given:

Curve equations are `y=sqrt{x}` and `y=x.`

`Rightarrow x=sqrt{x} Rightarrow x^{2}=x `

`Rightarrow x^{2}-x=0 Rightarrow x(x-1)=0 `

`Rightarrow x=0,1`


`therefore` Required area of shaded region,` A=int_{0}^{1}(sqrt{x}) d x-int_{0}^{1} x d x`


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