
Applications of Integral Calculus
Using definite integrals to calculate the area between curves and the volume of solids of revolution. Students apply these techniques to real-world contexts.
About This Topic
Using definite integrals to calculate the area between curves and the volume of solids of revolution. Students apply these techniques to real-world contexts.
Key Questions
- How do we set up an integral to find the area between two intersecting curves?
- What is the disc method for calculating volumes of revolution?
- How can integral calculus model physical quantities?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Specialist 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 and Differential Equations
Advanced Integration Techniques
Application of integration by substitution, partial fractions, and integration by parts. Students evaluate complex definite and indefinite integrals.
8 methodologies
First-Order Differential Equations
Solving simple first-order differential equations, including separable equations. Students use slope fields to visualise solutions and model growth and decay.
8 methodologies