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}

Decimal

0.28104 \dots

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{\partial}{\partial z} (cos (x))

\frac{d}{d u} (u^{9} + v^{5})

y^{^{'}} + (x + 1) y = e^{x^{2}} y^{3}

\int (4 x^{2} - 8 x + 1) d x

n = 0 \sum \infty (1 - \frac{1}{n})^{n}

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