Calculus Examples

$\int \frac{4}{x} d x$

Step 1

Since $4$ is constant with respect to $x$ , move $4$ out of the integral.

$4 \int \frac{1}{x} d x$

Step 2

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

$4 (\ln (| x |) + C)$

Step 3

Simplify.

$4 \ln (| x |) + C$