In this lesson, you'll be introduced to the intuition behind integrating. As you'll realize, integrating a function can be interpreted geometrically as calculating the area under its curve (for this last statement, you'll also understand why some "areas" are negative).
Duration: 30 min
Lesson objectives
- Students will understand the intuition behind integrating and its geometric interpretation
- Students will evaluate areas and relate them to definite integrals
- Students will use properties of integrals
Resources
- Exercise lists
- * Recommended
- Haese AA HL 20A
- * Extra
- Videos
- Links
- TOK
- How do we know that integral gives areas?
- Group work
- Finding definite integrals of function over intervals where it crosses x-axis, compared to sketch graph - negative areas?