What is the integral from 0 to 1 of x^{6/7} ?

The integral from 0 to 1 of x^{6/7} is 7/13

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integral from 0 to 1 of x^{6/7}

\int_{0}^{1} x^{\frac{6}{7}} d x

\frac{7}{13}

Decimal Notation

0.53846 \dots

Solution steps

\int_{0}^{1} x^{\frac{6}{7}} d x

Apply the Power Rule

: [\frac{7}{13} x^{\frac{13}{7}}]_{0}^{1}

= [\frac{7}{13} x^{\frac{13}{7}}]_{0}^{1}

Compute the boundaries:

\frac{7}{13}

= \frac{7}{13}

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What is the integral from 0 to 1 of x^{6/7} ?
The integral from 0 to 1 of x^{6/7} is 7/13