What is the integral from 0 to 1 of (x)^2 ?

The integral from 0 to 1 of (x)^2 is 1/3

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integral from 0 to 1 of (x)^2

\int_{0}^{1} (x)^{2} d x

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{1}

= [\frac{x ^{3}}{3}]_{0}^{1}

Compute the boundaries:

\frac{1}{3}

= \frac{1}{3}

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What is the integral from 0 to 1 of (x)^2 ?
The integral from 0 to 1 of (x)^2 is 1/3