What is the integral from-1 to 0 of x^5 ?

The integral from-1 to 0 of x^5 is -1/6

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integral from-1 to 0 of x^5

\int_{- 1}^{0} x^{5} d x

- \frac{1}{6}

Solution steps

\int_{- 1}^{0} x^{5} d x

Apply the Power Rule

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

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

Compute the boundaries:

- \frac{1}{6}

= - \frac{1}{6}

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