How would you integrate ln(x)

To integrate ln(x) you will need to use intergration by parts. As you can differentiate ln(x) (it is equal to 1/x) and there is an implied 1xln(x). As a result you can differentiate ln(x) and integrate the 1. This you can then combine to find the integral of ln(x), which is xln(x) - 1.