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Lesson Plan: Improper Integrals: Discontinuous Integrands Mathematics
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to evaluate improper integrals where the integrand has a vertical asymptote.
Objectives
Students will be able to
- identify when an integral has a discontinuous integrand,
- recognize when an improper integral with a discontinuous integrand is finite,
- evaluate improper integrals with discontinuous integrands using limits.
Prerequisites
Students should already be familiar with
- the fundamental theorem of calculus,
- methods of integration including integration by substitution, integration by parts, and the method of partial fractions,
- the concept of discontinuity,
- limits.
