Topic 37 The Substitution Rule = Stewart 5.5 The Substitution Rule = AP Classroom 6.9

Lesson Summary: the substitution rule allows us to recognize when an integral is the result of having used Chain Rule during differentiation. You are looking for a function and its derivative (or a constant multiple of the derivative) inside the integrand.

Action Items:

1. If absent, take notes in class using one (or more) of the resources below (my notes, Khan Academy, or the AP Videos).

2. Book Practice: 5.5.1, p. 413 #3, 7, 11-14 all; 17-19 all; 21-25 odd; 39.

3. Extra Practice (optional): WaMap, assignment 4.4 (Integration by Substitution).

Resources:

My Video Notes from 2021
Khan Academy U-Substitution Unit
Topic 37: The Substitution Rule
Topic 37: The Substitution Rule Notes (optional)
AP Classroom Daily Videos: 6.9 (3 videos)
Stewart, Chapter 5, Section 5

Homework Solutions