What is the integral from 5 to 12 of sqrt(x) ?

The integral from 5 to 12 of sqrt(x) is 16sqrt(3)-(10sqrt(5))/3

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integral from 5 to 12 of sqrt(x)

\int_{5}^{12} x d x

163 - \frac{10 5}{3}

Decimal Notation

20.25925 \dots

Solution steps

\int_{5}^{12} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{5}^{12}

= [\frac{2}{3} x^{\frac{3}{2}}]_{5}^{12}

Compute the boundaries:

163 - \frac{10 5}{3}

= 163 - \frac{10 5}{3}

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What is the integral from 5 to 12 of sqrt(x) ?
The integral from 5 to 12 of sqrt(x) is 16sqrt(3)-(10sqrt(5))/3