What is the integral from 0 to 30 of 9sqrt(x) ?

The integral from 0 to 30 of 9sqrt(x) is 180sqrt(30)

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integral from 0 to 30 of 9sqrt(x)

\int_{0}^{30} 9 x d x

18030

Decimal Notation

985.90060 \dots

Solution steps

\int_{0}^{30} 9 x d x

Take the constant out:

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

= 9 \cdot \int_{0}^{30} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{30}

= 9 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{30}

Compute the boundaries:

2030

= 9 \cdot 2030

Simplify

= 18030

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What is the integral from 0 to 30 of 9sqrt(x) ?
The integral from 0 to 30 of 9sqrt(x) is 180sqrt(30)