5.3a: The Fundamental Theorem of Calculus (Part I)

Objectives:

• Define FTC I
• Apply FTC I in finding derivatives of "accumulation functions".

Read:

• pg. 379 - 384 (through example 4)

Definitions:

• The Fundamental Theorem of Calculus Part I (FTC I)

Formulas:N/A

Flashcards:

• FTC I

Examples:

A proof(ish) of FTC I


Ex1. Applying FTC I

Student example


Ex2. Finding the Derivative of an accumulation function

Student Example


Ex3. FTC I with the Chain Rule

Student Example


Practice Set 5.3a:
# 3, 6a, 8, 9, 14, 17, 58