Specialist Maths: Units 3 and 4

Antiderivatives

Techniques of integration

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About this lesson
This video is the first in a new series relating to Antidifferentiation for the Year 12 VCE Specialist Mathematics course in Australia. It should really be a recap of the work covered before and in Methods, but I know a lot of schools actually have the Spesh teacher end up teaching the content before it gets to Methods (go figure!). So this video hopes to find the middle ground between teaching and reviewing. There are a LOT of examples and each is explained in an easy to understand way.

Lesson chapters
  1. Welcome
  2. Learning objectives
  3. Recap of past learning
  4. General antiderivative
  5. Don't forget the constant!
  6. Table of basic antiderivatives
  7. The definite integral and the signed area
  8. Finding the total area using the modulus function
  9. The definite integral
  10. Example 1
  11. Example 2
  12. Example 3
  13. Example 4: Evaluate definite integrals
  14. Example 5: Evaluate definite integrals
  15. Example 6: Evaluate definite integrals
  16. Example 7: Evaluate definite integrals
  17. Example 8
  18. Example 9
  19. Example 10
  20. Graphs of functions and their antiderivatives
  21. Example 11
  22. Example 12
  23. Learning objectives: Revisited

Legal (VCAA)

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

Video details
  • Title Antiderivatives
  • Section Techniques of integration
  • Course Specialist Maths: Units 3 and 4

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