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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

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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