Lesson Plan: Integration by Substitution: Indefinite Integrals Mathematics • Higher Education

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use integration by substitution for indefinite integrals.

Objectives

Students will be able to

  • identify situations where a substitution can be used to simplify an integral,
  • choose an appropriate substitution, 𝑢, in order to solve an integral, where both 𝑢 and 𝑢 appear as factors of the integrand,
  • apply a substitution to an indefinite integral in order to solve it and reverse the substitution to give answers in terms of the original variable.

Prerequisites

Students should already be familiar with

  • the chain rule,
  • indefinite integrals.

Exclusions

Students will not cover

  • definite integrals,
  • integration by parts,
  • inverse trigonometric functions,
  • hyperbolic functions.

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