What is the integral from 0 to 1 of x^{100} ?

The integral from 0 to 1 of x^{100} is 1/101

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integral from 0 to 1 of x^{100}

\int_{0}^{1} x^{100} d x

\frac{1}{101}

Decimal

0.00990 \dots

Solution steps

\int_{0}^{1} x^{100} d x

Apply the Power Rule

: [\frac{x ^{101}}{101}]_{0}^{1}

= [\frac{x ^{101}}{101}]_{0}^{1}

Compute the boundaries:

\frac{1}{101}

= \frac{1}{101}

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What is the integral from 0 to 1 of x^{100} ?
The integral from 0 to 1 of x^{100} is 1/101