What is area y=x,y=sqrt(x),x=0,x=2 ?

The answer to area y=x,y=sqrt(x),x=0,x=2 is (7-4sqrt(2))/3

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area y=x,y=sqrt(x),x=0,x=2

area

y = x, y = x, x = 0, x = 2

\frac{7 - 4 2}{3}

Decimal

0.44771 \dots

Solution steps

Apply the area formula:

\int_{0}^{2} x - x d x

Solve

\int_{0}^{2} x - x d x : \frac{7 - 4 2}{3}

The area is:

= \frac{7 - 4 2}{3}

What is area y=x,y=sqrt(x),x=0,x=2 ?
The answer to area y=x,y=sqrt(x),x=0,x=2 is (7-4sqrt(2))/3