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Year 13/A2 Pure Chapter 11.4 (Integration)
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This video covers what is known as the "reverse chain rule" for integration, but I tend to teach this topic in terms of u - substitutions as spotting integrals "by inspection" isn't always easy - and certainly harder to spot if you are relatively new to integration.
This lesson is meant as preparation for Exercise 11D, page 302 of the Pearson Edexcel Pure Mathematics Year 2/A2 Textbook.
Introduction: 0:00
Solution to Warm-Up Q1a): 1:27
Solution to Warm-Up Q1b): 3:30
Solution to Warm-Up Q1c): 8:31
Solution to Warm-Up Q2: 12:47
INTEGRATING kf'(𝑥)[f(𝑥)]ⁿ USING U - SUBSTITUTIONS
Introduction: 27:79
Worked Example 1a): 30:07
Worked Example 1b): 32:44
Worked Example 1c): 35:10
Worked Example 2a): 38:21
Worked Example 2b): 40:39
Worked Example 2c): 42:52
Worked Example 3: 48:19
Suggested Exercises: 57:01
This lesson is meant as preparation for Exercise 11D, page 302 of the Pearson Edexcel Pure Mathematics Year 2/A2 Textbook.
Introduction: 0:00
Solution to Warm-Up Q1a): 1:27
Solution to Warm-Up Q1b): 3:30
Solution to Warm-Up Q1c): 8:31
Solution to Warm-Up Q2: 12:47
INTEGRATING kf'(𝑥)[f(𝑥)]ⁿ USING U - SUBSTITUTIONS
Introduction: 27:79
Worked Example 1a): 30:07
Worked Example 1b): 32:44
Worked Example 1c): 35:10
Worked Example 2a): 38:21
Worked Example 2b): 40:39
Worked Example 2c): 42:52
Worked Example 3: 48:19
Suggested Exercises: 57:01