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Popular >

integral of 2r^2

Solution

\int 2 r^{2} d r

Solution

\frac{2 r ^{3}}{3} + C

Solution steps

\int 2 r^{2} d r

Take the constant out:

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

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

Apply the Power Rule

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

= 2 \cdot \frac{r ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 r ^{3}}{3}

Add a constant to the solution

= \frac{2 r ^{3}}{3} + C

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(dy)/(dt)+4y=2e^{-3t}

\frac{d y}{d t} + 4 y = 2 e^{- 3 t}

Frequently Asked Questions (FAQ)

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