Calculus Examples

$g (x) = \frac{1}{x}$

Step 1

The function $G (x)$ can be found by finding the indefinite integral of the derivative $g (x)$ .

$G (x) = \int g (x) d x$

Step 2

Set up the integral to solve.

$G (x) = \int \frac{1}{x} d x$

Step 3

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

$\ln (| x |) + C$

Step 4

The answer is the antiderivative of the function $g (x) = \frac{1}{x}$ .

$G (x) =$ $\ln (| x |) + C$