What is the integral from 0 to 1 of r^2 ?

The integral from 0 to 1 of r^2 is 1/3

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integral from 0 to 1 of r^2

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

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

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

Apply the Power Rule

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

= [\frac{r ^{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 r^2 ?
The integral from 0 to 1 of r^2 is 1/3