What is the integral from 0 to 5 of sqrt(x) ?

The integral from 0 to 5 of sqrt(x) is (10sqrt(5))/3

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integral from 0 to 5 of sqrt(x)

\int_{0}^{5} x d x

\frac{10 5}{3}

Decimal

7.45355 \dots

Solution steps

\int_{0}^{5} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{5}

= [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{5}

Compute the boundaries:

\frac{10 5}{3}

= \frac{10 5}{3}

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What is the integral from 0 to 5 of sqrt(x) ?
The integral from 0 to 5 of sqrt(x) is (10sqrt(5))/3