What is the integral from 0 to 2 of x-sqrt(x) ?

The integral from 0 to 2 of x-sqrt(x) is 2-(4sqrt(2))/3

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integral from 0 to 2 of x-sqrt(x)

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

2 - \frac{4 2}{3}

Decimal Notation

0.11438 \dots

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int_{0}^{2} x d x = \frac{4 2}{3}

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

\frac{s}{( s ^{2} + 4 s + 5 )}

4 - x^{2}, - 2, 2

\int (x - 3) cos (x) d x

x \to 3 + lim (e^{\frac{x}{3 - x}})

\frac{\partial}{\partial θ} (- cos (θ))

What is the integral from 0 to 2 of x-sqrt(x) ?
The integral from 0 to 2 of x-sqrt(x) is 2-(4sqrt(2))/3