Calculating Area by Integral
Learning Time: 6-18 hours
Content: Calculating area by integral is the subject that examines the calculation of areas in the plane using definite integrals. The 2025 curriculum includes positive/negative areas, area between curves, and applications. This topic is only found in the AYT curriculum.
- Basic Concepts:
- Area Definition (∫[a,b] |f(x)|dx)
- Positive and Negative Areas
- Area Between Curves
- Solution Techniques:
- Using the Definite Integral
- Area Between Curves Formula
- Graphical Analysis
- Advanced Analysis:
- Areas in Complex Regions
- Application Problems
- Mathematical Proofs
- Applications:
- Area Calculation in Geometry
- Physical Models (Cross-Sectional Areas)
- Engineering Designs
- Affecting Factors:
- Curve Shape
- Boundary Values
- Field Type
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
