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Mathematical Methods: Units 1 and 2

Antidifferentiation of Polynomial Functions

Differentiation and antidifferentiation of polynomials

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About this lesson
This is another video in the Mathematical Methods (Year 11 VCE) course looking at Calculus. Having spent a lot of time looking at how to differentiate and what it means to differentiate, we now look at the reverse process. I look at the rule for integration (antidifferentiation) and how we can take account of the constant. I show what it means to be a general antiderivative and how we can find specific functions when given a gradient function and a coordinate. There are lots of worked examples and the theory is explained in an easy to understand way.
Lesson chapters
  1. Welcome
  2. Learning objectives
  3. Recap of past learning
  4. Differentiating the constant
  5. Why are the gradient functions the same?
  6. Meeting the general form for the first time
  7. Antidifferentiation / Integration Introduction
  8. How to Antidifferentiate (Integrate): The rule
  9. Examples of finding general antiderivatives
  10. Examples where a coordinate is given.
  11. Finding the value of the constant
  12. More examples
  13. Using the CAS to integrate/antidifferentiate
  14. Final words and summary
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 Antidifferentiation of Polynomial Functions
  • Section Differentiation and antidifferentiation of polynomials
  • Course Mathematical Methods: Units 1 and 2

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