Evaluate the integral with ln and u sub

The video tutorial explains the process of using U substitution in integration, starting with setting U as ln(x) and finding the derivative. It discusses evaluating integrals with new endpoints and highlights the rules of logarithms. The tutorial concludes with integrating and evaluating the expression, resulting in the final answer of negative ln of the absolute value of two.

How do the rules of logarithms apply to the evaluation of the integral in this example?

What is the final answer obtained from the integration process, and how is it derived?