What is the integral from 3 to 8 of sqrt(x) ?

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

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integral from 3 to 8 of sqrt(x)

\int_{3}^{8} x d x

\frac{32 2}{3} - 23

Decimal

11.62084 \dots

Solution steps

\int_{3}^{8} x d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{32 2}{3} - 23

= \frac{32 2}{3} - 23

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