**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)