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Popular >

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

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

= 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

Popular Examples

integral of 4xe^{x+2}

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

integral of (5x^2)e^{-x^3}

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

integral of ((3x^5-2x^3+5x^2-2))/(x^3+1)

\int \frac{( 3 x ^{5} - 2 x ^{3} + 5 x ^{2} - 2 )}{x ^{3} + 1} d x

integral of (x^2)/(sqrt(1-4x^6))

\int \frac{x ^{2}}{1 - 4 x ^{6}} d x

integral of xsqrt(1-9x^2)

\int x 1 - 9 x^{2} d x

Frequently Asked Questions (FAQ)

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