
Definite Integrals and Area under a Curve
This topic covers the evaluation of definite integrals and their application in finding the area bounded by a curve and the coordinate axes.
About This Topic
This topic covers the evaluation of definite integrals and their application in finding the area bounded by a curve and the coordinate axes.
Key Questions
- What is the difference between a definite and an indefinite integral?
- How do we calculate the area between a curve and the x-axis?
- How do we find the area between a curve and a line?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Additional Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Calculus - Integration
Integration as the Reverse of Differentiation
Students are introduced to integration as the anti-derivative. They learn to integrate standard functions and apply the constant of integration.
8 methodologies
Kinematics (Application of Calculus)
Students apply both differentiation and integration to solve kinematics problems involving displacement, velocity, and acceleration of a particle moving in a straight line.
8 methodologies