Worked Examples: A2 Pure: Integration

🟢 A2 PURE: Course Topics

⚪ 1. Algebraic Methods (A2)

⚪ 2. Functions & Graphs (A2)

⚪ 3. Sequences & Series (A2)

⚪ 4. Binomial Expansions (A2)

⚪ 5. Radians

⚪ 6. Trigonometric Functions

⚪ 7. Further Trigonometry

⚪ 8. Parametric Equations

⚪ 9. Differentiation (A2)

⚪ 10. Numerical Methods: Areas & Roots

🟢 11. Integration (A2)

1. Integrating Simple Terms
2. Integral Simplification Techniques
3. Standard Trig Integrals
4. Standard Trig Integrals: Example
5. Integrating Even Powers of sin x & cos x
6. Integrating Even Powers of sin x & cos x: Ex’s
7. Integrating Trig Products using the Double Angle Formulas
8. Integrating Trig Products using the Factor Formulae
9. Integration by Substitution: Spotting the Derivative 1
10. Integration by Substitution: Spotting the Derivative 2
11. Integration by Substitution: Ex’s 1
12. Integration by Substitution: Ex’s 2
13. Integration by Substitution: Ex’s 3
14. Integration by Substitution: Ex’s 4
15. Integrating 1 / x
16. Integrating 1 / x: Ex
17. Integrating tan x & cot x
18. Integrating Odd Powers of sin x & cos x
19. Integrating Odd Powers of tan x
20. Integrating cosec x: A Tricky Trig Integral
21. Integrating Functions With: e
22. Integration by Parts
23. Integration by Parts: Ex 1
24. Integration by Parts: Ex 2
25. Repeated Use of Integration by Parts 1
26. Repeated Use of Integration by Parts 2
27. Repeated Use of Integration by Parts 3
28. Inverse Trig Integrals
29. Partial Fractions & Integration
30. Partial Fractions & Integration: Ex
31. Exponential Functions Involving Time
32. Parametric Integration
33. Parametric Integration: Ex
34. Volumes of Revolution
35. Volumes of Revolution of Parametric Functions

⚪ 12. Integration Revision

⚪ 13. Vector (A2)