Lesson Plan: The Fundamental Theorem of Calculus: Functions Defined by Integrals Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to apply the fundamental theorem of calculus to find the derivative of a function defined by an integral.

Objectives

Students will be able to

  • understand the first part of the fundamental theorem of calculus, the conditions under which it holds true, and its implications,
  • use the fundamental theorem of calculus to find the derivative of a function defined by an integral.

Prerequisites

Students should already be familiar with

  • the concept of a definite integral,
  • antiderivatives.

Exclusions

Students will not cover

  • evaluating definite integrals as antiderivatives.

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