What is the integral from 0 to r of r^4 ?

The integral from 0 to r of r^4 is (r^5)/5

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integral from 0 to r of r^4

\int_{0}^{r} r^{4} d r

\frac{r ^{5}}{5}

Solution steps

\int_{0}^{r} r^{4} d r

Apply the Power Rule

: [\frac{r ^{5}}{5}]_{0}^{r}

= [\frac{r ^{5}}{5}]_{0}^{r}

Compute the boundaries:

\frac{r ^{5}}{5}

= \frac{r ^{5}}{5}

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What is the integral from 0 to r of r^4 ?
The integral from 0 to r of r^4 is (r^5)/5