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Advanced Calculus: Integration Techniques · Semester 1

Integration of Rational Functions by Partial Fractions

Students will decompose rational functions into partial fractions to facilitate integration.

Key Questions

  1. Explain why partial fraction decomposition is necessary for integrating certain rational functions.
  2. Analyze the different cases for partial fraction decomposition (linear, repeated, irreducible quadratic factors).
  3. Construct the partial fraction decomposition of a given rational function.

MOE Syllabus Outcomes

Level: JC 2
Subject: Mathematics
Unit: Advanced Calculus: Integration Techniques
Period: Semester 1

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