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: https://www.youtube.com/watch?v=2Kcc3dS6o_w 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