Apply u substitution to a polynomial

The video tutorial explains how to differentiate and integrate functions efficiently without expanding them. It emphasizes the use of basic integration methods and introduces U-substitution as a technique for handling complex functions. The tutorial provides a step-by-step guide on applying U-substitution, including identifying the function and its derivative, and concludes with integrating the function using this method.

What should you do if the standard integration techniques do not apply to a given problem?

Describe the process of integrating a function after applying 'u substitution'.