Lesson 4: 7.4 Integration of Rational Functions by Partial Fractions
Duration of Days: 3
Lesson Objective
Students will be able to solve integrals with specific types of rational functions by using partial fractions.
- What types of functions would require us to apply algebraic long division?
- What are partial fractions?
- Why are there only four different cases of rational functions that can be broken down by partial fractions?
- partial fractions
- distinct linear factors
- irreducible quadratic factors
- partial fraction decomposition
(solving specific integrals using partial fractions)
- Solving integrals with specific types of rational functions by applying partial fractions
- DOK Levels 1-4
- all applications of integrals
Students often struggle with algebraic long division and the partial fraction decomposition.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book