Integral Calculus · Calculus

Definite Integrals and Area

Calculating the area under a curve and the volume of revolution for complex shapes.

Key Questions

  1. 1How does the Fundamental Theorem of Calculus link the concept of area to the concept of the anti-derivative?
  2. 2What happens to the calculation of area when a curve crosses the x-axis within the limits of integration?
  3. 3How is a volume of revolution conceptually built from an infinite number of thin cylindrical discs?

MOE Syllabus Outcomes

MOE: Integral Calculus - JC1
Level: JC 1
Subject: Mathematics
Unit: Integral Calculus
Period: Calculus

Suggested Methodologies

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Learning integration by substitution and using the standard forms of integrals.

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