Calculus Foundations · Calculus

Integration and Area

Understanding integration as the reverse of differentiation and its use in finding area under curves.

Key Questions

  1. 1Why is an arbitrary constant necessary when performing indefinite integration?
  2. 2How does the definite integral represent the total accumulation of a quantity over time?
  3. 3What is the geometric link between the derivative of an area function and the original curve?

MOE Syllabus Outcomes

MOE: Calculus - S4
Level: Secondary 4
Subject: Mathematics
Unit: Calculus Foundations
Period: Calculus

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