What is the integral from 0 to 1 of x^{1/5} ?

The integral from 0 to 1 of x^{1/5} is 5/6

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integral from 0 to 1 of x^{1/5}

\int_{0}^{1} x^{\frac{1}{5}} d x

\frac{5}{6}

Decimal

0.83333 \dots

Solution steps

\int_{0}^{1} x^{\frac{1}{5}} d x

Apply the Power Rule

: [\frac{5}{6} x^{\frac{6}{5}}]_{0}^{1}

= [\frac{5}{6} x^{\frac{6}{5}}]_{0}^{1}

Compute the boundaries:

\frac{5}{6}

= \frac{5}{6}

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What is the integral from 0 to 1 of x^{1/5} ?
The integral from 0 to 1 of x^{1/5} is 5/6