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
- Welcome
- Learning objectives
- Recap of past learning
- General antiderivative
- Don't forget the constant!
- Table of basic antiderivatives
- The definite integral and the signed area
- Finding the total area using the modulus function
- The definite integral
- Example 1
- Example 2
- Example 3
- Example 4: Evaluate definite integrals
- Example 5: Evaluate definite integrals
- Example 6: Evaluate definite integrals
- Example 7: Evaluate definite integrals
- Example 8
- Example 9
- Example 10
- Graphs of functions and their antiderivatives
- Example 11
- Example 12
- 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
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Title
Antiderivatives
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Section
Techniques of integration
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Course
Specialist Maths: Units 3 and 4
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