# Integration of One over X

Integration of one over $x$ is another important formula of integration.

The integration of one over $X$ is of the form

Now consider

Integrating both sides of equation (i) with respect to $x$, we have

Since integration and differentiation are reverse processes to each other , so the integral sign $\int {}$and $\frac{d}{{dx}}$ on the right side will cancel each other, i.e.

Example: Evaluate the integral $\int {\frac{{1 - x}}{x}dx}$ with respect to $x$

We have integral

Using integration of one over $X$, we have