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

The integral from 0 to 1 of x^e is 1/(e+1)

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integral from 0 to 1 of x^e

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

\frac{1}{e + 1}

Decimal

0.26894 \dots

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{1}{e + 1}

= \frac{1}{e + 1}

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What is the integral from 0 to 1 of x^e ?
The integral from 0 to 1 of x^e is 1/(e+1)