The Calculus of Change · Calculus

Integration as Area

Understanding integration as the inverse of differentiation and its use in calculating areas under curves.

Key Questions

  1. 1Why does finding the anti-derivative result in the area under a curve?
  2. 2How do we interpret the constant of integration in a physical context?
  3. 3What are the limitations of using integration to find area when a curve falls below the x-axis?

National Curriculum Attainment Targets

A-Level: Mathematics - Integration
Year: Year 12
Subject: Mathematics
Unit: The Calculus of Change
Period: Calculus

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