# Indefinite Integration of 1/*x*

How to solve the indefinite integration of 1/*x* problems: formula, example, and its solution.

## Formula

∫ 1/*x* *dx* = ln |*x*| + *C*

This is true because

[ln |*x*| + *C*]' = 1/*x*.

Derivative of ln |*x*|

## Example

Split the fraction into three parts.

∫ 1/*x* *dx* = ln |*x*|

So (given) = (1/2)*x*^{2} - *x* + 2 ln |*x*| + *C*.

Indefinite integration of polynomials