What is the integral from 0 to 8 of x^{1/3} ?

The integral from 0 to 8 of x^{1/3} is 12

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integral from 0 to 8 of x^{1/3}

\int_{0}^{8} x^{\frac{1}{3}} d x

12

Solution steps

\int_{0}^{8} x^{\frac{1}{3}} d x

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{0}^{8}

= [\frac{3}{4} x^{\frac{4}{3}}]_{0}^{8}

Compute the boundaries:

12

= 12

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What is the integral from 0 to 8 of x^{1/3} ?
The integral from 0 to 8 of x^{1/3} is 12