Calculus Examples

$\int - \frac{5}{r} d r$

Step 1

Since $- 1$ is constant with respect to $r$ , move $- 1$ out of the integral.

$- \int \frac{5}{r} d r$

Step 2

Since $5$ is constant with respect to $r$ , move $5$ out of the integral.

$- (5 \int \frac{1}{r} d r)$

Step 3

Multiply $5$ by $- 1$ .

$- 5 \int \frac{1}{r} d r$

Step 4

The integral of $\frac{1}{r}$ with respect to $r$ is $\ln (| r |)$ .

$- 5 (\ln (| r |) + C)$

Step 5

Simplify.

$- 5 \ln (| r |) + C$