What is the integral from 0 to 2 of \sqrt[3]{x} ?

The integral from 0 to 2 of \sqrt[3]{x} is 3/(2^{2/3)}

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integral from 0 to 2 of \sqrt[3]{x}

\frac{3}{2 ^{\frac{2}{3}}}

Decimal Notation

1.88988 \dots

Solution steps

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{0}^{2}

= [\frac{3}{4} x^{\frac{4}{3}}]_{0}^{2}

Compute the boundaries:

\frac{3}{2 ^{\frac{2}{3}}}

= \frac{3}{2 ^{\frac{2}{3}}}

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What is the integral from 0 to 2 of \sqrt[3]{x} ?
The integral from 0 to 2 of \sqrt[3]{x} is 3/(2^{2/3)}