Variable Limits of Integration and the Fundamental Theorem of Calculus

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Objective

SWBAT compute integrals with functions as limits of integration. SWBAT apply the Fundamental Theorem of Calculus in differentiating integrals with variable limits of integration.

Big Idea

An integral with a variable limit of integration equals another function. So what is the derivative of such an integral? Let’s investigate…

Video Narrative - Lesson Overview

Setting the Stage

10 minutes
Variable Limits of Integration and the Fundamental Theorem of Calculus, Lesson Plan, Setting the Stage.pdf page 1

Investigation

23 minutes
Variable Limits of Integration and the Fundamental Theorem of Calculus, Lesson Plan, Investigation.pdf page 1
Variable Limits of Integration and the Fundamental Theorem of Calculus, Lesson Plan, Investigation.pdf page 2
Variable Limits of Integration and the Fundamental Theorem of Calculus, Lesson Plan, Investigation.pdf page 3

Closure + Homework

2 minutes
Variable Limits of Integration and the Fundamental Theorem of Calculus, Lesson Plan, Closure + Homework.pdf page 1