Integration of 1/x

This is part of the HSC Mathematics Advanced course under the topic of Integral Calculus: The anti-derivative

In this post, we establish and use the formulae \int \frac{1}{x} dx = ln |x| + c and \int f′(x)f(x) dx = ln |f(x)| + c for x \neq 0, f(x) \neq 0 , respectively.

Indefinite integral of \frac{1}{x}