Integration Using The Substitution Rule

The video tutorial introduces the substitution rule for integration, explaining how it simplifies complex integrals by substituting part of the integrand with a variable 'u'. It demonstrates this technique through examples, including polynomial and trigonometric integrals, and relates it to the chain rule in reverse. The tutorial emphasizes recognizing when substitution is applicable and concludes with a comprehension check.

What is the relationship between the substitution rule and the chain rule?

Discuss the importance of recognizing the form of an integrand for applying the substitution rule.

What should you look for in an integrand to determine if the substitution rule can be applied?

Provide an example of an integral where substitution is applicable.