What is the integral from 0 to r of r ?

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

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integral from 0 to r of r

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

\frac{r ^{2}}{2}

Solution steps

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

Apply the Power Rule

: [\frac{r ^{2}}{2}]_{0}^{r}

= [\frac{r ^{2}}{2}]_{0}^{r}

Compute the boundaries:

\frac{r ^{2}}{2}

= \frac{r ^{2}}{2}

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