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

The integral from 0 to 1 of x^{1/3} is 3/4

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

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

\frac{3}{4}

Decimal

0.75

Solution steps

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

Apply the Power Rule

: [\frac{3}{4} x^{\frac{4}{3}}]_{0}^{1}

= [\frac{3}{4} x^{\frac{4}{3}}]_{0}^{1}

Compute the boundaries:

\frac{3}{4}

= \frac{3}{4}

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What is the integral from 0 to 1 of x^{1/3} ?
The integral from 0 to 1 of x^{1/3} is 3/4