Calculus Examples

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

Step 1

Split the fraction into multiple fractions.

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

Step 2

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

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

Step 3

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

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

Step 4

Simplify.

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