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Popular Calculus >

integral of 15r^2

Solution

\int 15 r^{2} d r

Solution

5 r^{3} + C

Solution steps

\int 15 r^{2} d r

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 15 \cdot \int r^{2} d r

Apply the Power Rule

= 15 \cdot \frac{r ^{3}}{3}

Simplify

15 \cdot \frac{r ^{3}}{3} : 5 r^{3}

= 5 r^{3}

Add a constant to the solution

= 5 r^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 15r^2 ?
The integral of 15r^2 is 5r^3+C