Calculus: The Study of Change · Calculus and Analysis
Integration and Area
Developing the Fundamental Theorem of Calculus to find areas under curves and understand accumulation functions.
Key Questions
- 1In what ways can integration be viewed as the inverse process of differentiation?
- 2How can we justify that the area under a velocity time graph represents total displacement?
- 3Why do we require a constant of integration when finding an indefinite integral?
ACARA Content Descriptions
AC9MFM03AC9MFM04
Year: Year 12
Subject: Mathematics
Unit: Calculus: The Study of Change
Period: Calculus and Analysis
Suggested Methodologies
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