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Popular >

integral of (r^3)/2

Solution

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

Solution

\frac{r ^{4}}{8} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \cdot \int r^{3} d r

Apply the Power Rule

: \frac{r ^{4}}{4}

= \frac{1}{2} \cdot \frac{r ^{4}}{4}

Simplify

\frac{1}{2} \cdot \frac{r ^{4}}{4} : \frac{r ^{4}}{8}

= \frac{r ^{4}}{8}

Add a constant to the solution

= \frac{r ^{4}}{8} + C

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\int \frac{1}{t ^{2} 196 - t ^{2}} d t

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\int (csc^{2} (x) - 1)^{2} d x

integral of ((sqrt(x)+2)^2)/(3sqrt(x))

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

Frequently Asked Questions (FAQ)

What is the integral of (r^3)/2 ?
The integral of (r^3)/2 is (r^4)/8+C