Lesson Plan: Integration by Substitution: Indefinite Integrals | Nagwa Lesson Plan: Integration by Substitution: Indefinite Integrals | Nagwa

# Lesson Plan: Integration by Substitution: Indefinite Integrals Mathematics

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, , in order to solve an integral, where both and 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.