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Popular Calculus >

integral of 3r^2

Solution

\int 3 r^{2} d r

Solution

r^{3} + C

Solution steps

\int 3 r^{2} d r

Take the constant out:

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

= 3 \cdot \int r^{2} d r

Apply the Power Rule

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

Simplify

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

= r^{3}

Add a constant to the solution

= r^{3} + C

Graph

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\int 4 x e^{x + 2} d x

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\int (5 x^{2}) e^{- x^{3}} d x

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\int \frac{x - 2}{x ^{2} - 2 x + 5} d x

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\int \frac{sin ( 2 x )}{21 + cos ^{2} ( x )} d x

integral of (9x^3-9x+2)/(x^3-x^2)

\int \frac{9 x ^{3} - 9 x + 2}{x ^{3} - x ^{2}} d x

Frequently Asked Questions (FAQ)

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