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Popular >

integral of r^3+2r

Solution

\int r^{3} + 2 r d r

Solution

\frac{r ^{4}}{4} + r^{2} + C

Solution steps

\int r^{3} + 2 r d r

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int r^{3} d r = \frac{r ^{4}}{4}

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

= \frac{r ^{4}}{4} + r^{2}

Add a constant to the solution

= \frac{r ^{4}}{4} + r^{2} + C

Popular Examples

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\frac{d}{d t} (2 cos^{2} (t))

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\int x (3 x^{2} - 5)^{10} d x

integral of x^4e^{5x}

\int x^{4} e^{5 x} d x

f (x) = \frac{3}{x + 5}

integral of (-2e^x-6/x)

\int (- 2 e^{x} - \frac{6}{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of r^3+2r ?
The integral of r^3+2r is (r^4)/4+r^2+C