Lesson Plan: Integrals Resulting in Inverse Trigonometric Functions Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to evaluate integrals resulting in inverse trigonometric functions, such as ∫1/(1 + 𝑥²) d𝑥.

Objectives

Students will be able to

  • recognize integrands that integrate to the inverse trigonometric functions arcsin, arctan, and arcsec.

Prerequisites

Students should already be familiar with

  • the fundamental theorem of calculus,
  • differentiation of trigonometric and inverse trigonometric functions,
  • integration by substitution.

Exclusions

Students will not cover

  • integration by parts.

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