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

The integral from 0 to 1 of x^{1/7} is 7/8

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

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

\frac{7}{8}

Decimal

0.875

Solution steps

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

Apply the Power Rule

: [\frac{7}{8} x^{\frac{8}{7}}]_{0}^{1}

= [\frac{7}{8} x^{\frac{8}{7}}]_{0}^{1}

Compute the boundaries:

\frac{7}{8}

= \frac{7}{8}

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What is the integral from 0 to 1 of x^{1/7} ?
The integral from 0 to 1 of x^{1/7} is 7/8