What is the integral from 1 to 3 of 3sqrt(x) ?

The integral from 1 to 3 of 3sqrt(x) is 6sqrt(3)-2

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integral from 1 to 3 of 3sqrt(x)

\int_{1}^{3} 3 x d x

63 - 2

Decimal

8.39230 \dots

Solution steps

\int_{1}^{3} 3 x d x

Take the constant out:

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

= 3 \cdot \int_{1}^{3} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{3}

= 3 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{3}

Compute the boundaries:

23 - \frac{2}{3}

= 3 (23 - \frac{2}{3})

Simplify

= 63 - 2

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What is the integral from 1 to 3 of 3sqrt(x) ?
The integral from 1 to 3 of 3sqrt(x) is 6sqrt(3)-2