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

# Lesson Plan: Integration by Substitution: Definite Integrals Mathematics

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

#### Objectives

Students will be able to

• identify situations where a substitution can be used to simplify a definite integral,
• choose an appropriate substitution, , in order to solve an integral, where both and appear as factors of the integrand,
• apply a substitution to a definite integral, including substituting the limits of the integral, in order to solve it.

#### Prerequisites

Students should already be familiar with

• the chain rule,
• integration by substitution for indefinite integrals,
• definite integrals,
• trigonometric identities, such as Pythagorean, double- and half-angle, and angle sum and difference trigonometric identities.

#### Exclusions

Students will not cover

• integration by parts,
• hyperbolic functions.

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