What is the integral from 4 to 9 of 4sqrt(x) ?

The integral from 4 to 9 of 4sqrt(x) is 152/3

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integral from 4 to 9 of 4sqrt(x)

\int_{4}^{9} 4 x d x

\frac{152}{3}

Solution steps

\int_{4}^{9} 4 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int_{4}^{9} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{4}^{9}

= 4 [\frac{2}{3} x^{\frac{3}{2}}]_{4}^{9}

Compute the boundaries:

\frac{38}{3}

= 4 \cdot \frac{38}{3}

Simplify

= \frac{152}{3}

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What is the integral from 4 to 9 of 4sqrt(x) ?
The integral from 4 to 9 of 4sqrt(x) is 152/3