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

The integral from 0 to 1 of x^{5/6} is 6/11

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

\int_{0}^{1} x^{\frac{5}{6}} d x

\frac{6}{11}

Decimal

0.54545 \dots

Solution steps

\int_{0}^{1} x^{\frac{5}{6}} d x

Apply the Power Rule

: [\frac{6}{11} x^{\frac{11}{6}}]_{0}^{1}

= [\frac{6}{11} x^{\frac{11}{6}}]_{0}^{1}

Compute the boundaries:

\frac{6}{11}

= \frac{6}{11}

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What is the integral from 0 to 1 of x^{5/6} ?
The integral from 0 to 1 of x^{5/6} is 6/11