Calculus Examples

$\int \frac{5}{x} d x$

Step 1

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

$5 \int \frac{1}{x} d x$

Step 2

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

$5 (\ln (| x |) + C)$

Step 3

Simplify.

$5 \ln (| x |) + C$