What is the integral from 1 to 2 of (x-sqrt(x)) ?

The integral from 1 to 2 of (x-sqrt(x)) is 3/2-(4sqrt(2)-2)/3

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integral from 1 to 2 of (x-sqrt(x))

\int_{1}^{2} (x - x) d x

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

Solution steps

\int_{1}^{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_{1}^{2} x d x - \int_{1}^{2} x d x

\int_{1}^{2} x d x = \frac{3}{2}

\int_{1}^{2} x d x = \frac{4 2 - 2}{3}

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

\frac{d}{d x} (e^{- x^{2} - y^{2}})

\int arccsc (x) d x

n = 1 \sum \infty \frac{x ^{n}}{n + 5}

\frac{\partial}{\partial x} (7 x y^{4} + 2)

\int \frac{1}{( x + 1 ) ( x ^{2} + 25 )} d x

What is the integral from 1 to 2 of (x-sqrt(x)) ?
The integral from 1 to 2 of (x-sqrt(x)) is 3/2-(4sqrt(2)-2)/3