# How do you find the indefinite integral of int 1/(x-5)?

Dec 16, 2016

$\int \frac{1}{x - 5} \mathrm{dx} = \ln | \left(x - 5\right) | + C$

#### Explanation:

$\int \frac{f ' \left(x\right)}{f \left(x\right)} \mathrm{dx} = \ln | f \left(x\right) | + C$

$\int \frac{1}{x - 5} \mathrm{dx}$

$x \ne 5$

$\frac{d}{\mathrm{dx}} \left(x - 5\right) = 1$

$\int \frac{1}{x - 5} \mathrm{dx} = \ln | \left(x - 5\right) | + C$