Lesson Plan: Integration by Trigonometric Substitutions | Nagwa Lesson Plan: Integration by Trigonometric Substitutions | Nagwa

Lesson Plan: Integration by Trigonometric Substitutions

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use trigonometric substitutions to evaluate integrals containing radicals of the form √(𝑥² ± 𝑎²).

Objectives

Students will be able to

  • learn how to use trigonometric substitutions to evaluate integrals containing radicals of the form (𝑥±𝑎).

Prerequisites

Students should already be familiar with

  • basic integration,
  • integration by 𝑢-substitution (reverse chain rule),
  • trigonometric integrals.

Exclusions

Students will not cover

  • partial fractions,
  • integration by parts,
  • definite integrals.

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