What is the integral from 0 to 1 of x^6 ?

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

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integral from 0 to 1 of x^6

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

\frac{1}{7}

Decimal

0.14285 \dots

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{1}{7}

= \frac{1}{7}

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