Year 13/A2 Pure Chapter 11.2 (Integration)

After introducing the "Standard" results in the last video - and practicing integrating them - we now need to move on to integrating these functions.
The formula book provides results for integrating functions of the type ∫f(a𝑥)d𝑥.
How may we consider integrating functions of the type ∫f(a𝑥 + b)d𝑥, or even ∫[f(a𝑥 + b)]ⁿd𝑥 ?
We explore how u - substitutions can be used to transform integrals into easier functions to integrate.
For a quick heads-up on the idea of u-substitution for this lesson:

This lesson is meant as preparation for Exercise 11B, page 295 of the Pearson Edexcel Pure Mathematics Year 2/A2 Textbook.

Introduction: 0:00

Solution to Warm-Up Q1: 1:35
Solution to Warm-Up Q2: 5:53
Solution to Warm-Up Q3: 8:54

Integrating [f(a𝑥 + b)]ⁿ

Introduction and overview of method: 15:10

Worked Example 1: 19:20
Worked Example 2: 22:58
Worked Example 3: 25:21
Worked Example 4: 29:52
Worked Example 5: 35:36

Suggested exercises: 41:47