What is the integral from 0 to 1 of \sqrt[5]{x} ?

The integral from 0 to 1 of \sqrt[5]{x} is 5/6

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integral from 0 to 1 of \sqrt[5]{x}

\frac{5}{6}

Decimal Notation

0.83333 \dots

Solution steps

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 \sqrt[5]{x} ?
The integral from 0 to 1 of \sqrt[5]{x} is 5/6