What is the integral from 27 to 216 of \sqrt[3]{x} ?

The integral from 27 to 216 of \sqrt[3]{x} is 3645/4

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integral from 27 to 216 of \sqrt[3]{x}

\int_{27}^{216} 3 x d x

\frac{3645}{4}

Decimal

911.25

Solution steps

\int_{27}^{216} 3 x d x

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{27}^{216}

= [\frac{3}{4} x^{\frac{4}{3}}]_{27}^{216}

Compute the boundaries:

\frac{3645}{4}

= \frac{3645}{4}

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What is the integral from 27 to 216 of \sqrt[3]{x} ?
The integral from 27 to 216 of \sqrt[3]{x} is 3645/4