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

The integral from 0 to a of r^2 is (a^3)/3

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integral from 0 to a of r^2

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

\frac{a ^{3}}{3}

Solution steps

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

Apply the Power Rule

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

= [\frac{r ^{3}}{3}]_{0}^{a}

Compute the boundaries:

\frac{a ^{3}}{3}

= \frac{a ^{3}}{3}

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