What is the integral from 1 to 10 of sqrt(x) ?

The integral from 1 to 10 of sqrt(x) is (20sqrt(10)-2)/3

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integral from 1 to 10 of sqrt(x)

\int_{1}^{10} x d x

\frac{20 10 - 2}{3}

Decimal

20.41518 \dots

Solution steps

\int_{1}^{10} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{10}

= [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{10}

Compute the boundaries:

\frac{20 10}{3} - \frac{2}{3}

= \frac{20 10}{3} - \frac{2}{3}

Simplify

= \frac{20 10 - 2}{3}

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What is the integral from 1 to 10 of sqrt(x) ?
The integral from 1 to 10 of sqrt(x) is (20sqrt(10)-2)/3