What is the integral from 27 to 64 of \sqrt[3]{x} ?

The integral from 27 to 64 of \sqrt[3]{x} is 525/4

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integral from 27 to 64 of \sqrt[3]{x}

\frac{525}{4}

Solution steps

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{27}^{64}

= [\frac{3}{4} x^{\frac{4}{3}}]_{27}^{64}

Compute the boundaries:

\frac{525}{4}

= \frac{525}{4}

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What is the integral from 27 to 64 of \sqrt[3]{x} ?
The integral from 27 to 64 of \sqrt[3]{x} is 525/4