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

The integral from 0 to 1 of x^1 is 1/2

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integral from 0 to 1 of x^1

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

\frac{1}{2}

Solution steps

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1}

= [\frac{x ^{2}}{2}]_{0}^{1}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

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\int_{0}^{1} \frac{1}{x ^{\frac{3}{2}}} d x

What is the integral from 0 to 1 of x^1 ?
The integral from 0 to 1 of x^1 is 1/2