What is the integral from 8 to 64 of \sqrt[3]{x} ?

The integral from 8 to 64 of \sqrt[3]{x} is 180

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integral from 8 to 64 of \sqrt[3]{x}

\int_{8}^{64} 3 x d x

180

Solution steps

\int_{8}^{64} 3 x d x

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{8}^{64}

= [\frac{3}{4} x^{\frac{4}{3}}]_{8}^{64}

Compute the boundaries:

180

= 180

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What is the integral from 8 to 64 of \sqrt[3]{x} ?
The integral from 8 to 64 of \sqrt[3]{x} is 180