What is the integral from 0 to 8 of sqrt(x) ?

The integral from 0 to 8 of sqrt(x) is (32sqrt(2))/3

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integral from 0 to 8 of sqrt(x)

\int_{0}^{8} x d x

\frac{32 2}{3}

Decimal

15.08494 \dots

Solution steps

\int_{0}^{8} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{8}

= [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{8}

Compute the boundaries:

\frac{32 2}{3}

= \frac{32 2}{3}

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What is the integral from 0 to 8 of sqrt(x) ?
The integral from 0 to 8 of sqrt(x) is (32sqrt(2))/3