Integration Fundamentals
An introduction to the basic ideas on integration
Syllabus content: SL 5.5, SL 5.10, SL 5.11
I have made 6 worksheets to help with these topics. They are:
- Polynomial integration
- Polynomial integration 2
- Area between 2 curves and FTC
- Integration rules for non polynomials
- Treasure hunt: Integration non polynomials
- Treasure hunt: Integration polynomials
You can scroll down below to see the pictures of the questions. You can download both the questions and mark scheme from the bottom of the page.
1. Polynomial integration
Note: This is a short worksheet which can be used in lesson or for homework and gives some practice in basic polynomial integration. Syllabus point: SL 5.5
2. Polynomial integration part 2
Note: This is a short worksheet which can be used in lesson or for homework and gives some more practice in basic polynomial integration. Syllabus point: SL 5.5
3. Area between 2 curves and FTC
Note: This is a short worksheet which can be used in lesson or for homework and gives some practice in finding area between curves. Syllabus point: SL 5.5 and SL 5.11
4. Integration rules for non polynomials
Note: This is a short worksheet which can be used in lesson or for homework and gives some practice in basic non-polynomial integration. Syllabus point: SL 5.10.
5. Treasure hunt: Integration non polynomials
Note: This is an activity which can be done in pairs or as a whole class activity. Students integrate using guess and check methods. Syllabus point: 5.10.
6. Treasure hunt: Integration polynomials
Note: This is an activity which can be done in pairs or as a whole class activity. Students find definite integrals of polynomials. Syllabus point: 5.5.
You can download the questions here: (You must be logged in to see all downloads)