What is the integral from 4 to 16 of sqrt(x) ?

The integral from 4 to 16 of sqrt(x) is 112/3

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integral from 4 to 16 of sqrt(x)

\int_{4}^{16} x d x

\frac{112}{3}

Solution steps

\int_{4}^{16} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{4}^{16}

= [\frac{2}{3} x^{\frac{3}{2}}]_{4}^{16}

Compute the boundaries:

\frac{112}{3}

= \frac{112}{3}

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What is the integral from 4 to 16 of sqrt(x) ?
The integral from 4 to 16 of sqrt(x) is 112/3