Lesson 7: 7.8 Improper Integrals
Duration of Days: 2
Lesson Objective
Students will determine when an infinite integral is convergent or divergent, and will calculate the value when the integral is convergent.
- What does it mean when an integral has an "infinite interval"?
- What is the "breaking point" for when an integral of (1/x)^n is convergent versus divergent?
- How can we apply the Comparison Test to determine convergence or divergence of an integral?
- Improper integral
- convergent/divergent integral
- infinite interval
- Comparison Test
- discontinuous integrand
(Solving improper integrals)
- Determining whether an improper integral converges or diverges, and solving convergent improper integrals
- DOK Levels 1-4
- all applications of integrals
Students may miss that a function is discontinuous somewhere within an interval and simply integrate between the given endpoints.
Homogeneous grouping and whole class discussion
section assessment
problems assigned from book