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Question

Evaluate the integral

\frac{5 r ^{2}}{2} + C, C \in R

Evaluate

\int 5 r d r

Use the property of integral \int k f (x) d x = k \int f (x) d x

5 \times \int r d r

Use the property of integral \int x^{n} d x = \frac{x ^{n + 1}}{n + 1}

5 \times \frac{r ^{1 + 1}}{1 + 1}

Simplify

More Steps

Evaluate

\frac{r ^{1 + 1}}{1 + 1}

Add the numbers

\frac{r ^{2}}{1 + 1}

Add the numbers

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

5 \times \frac{r ^{2}}{2}

Multiply the terms

\frac{5 r ^{2}}{2}

Solution

\frac{5 r ^{2}}{2} + C, C \in R

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