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Course: Calculus I
Topic: Antiderivatives
Subtopic: Integration by Substitution & Indefinite Integrals

Overview

Integration by substitution is a method that allows us to “undo” the chain rule. The process involves making a u-substitution that enables a somewhat complicated integral to be rewritten as one that is simpler and can be easily integrated. The key lies in making the correct substitution!

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Terms you should be able to define: u-substitution method of integration

Mini-Lectures and Examples

STUDY: Integration by Substitution

Supplemental Resources (optional)

Video: Change of Variables (Substitution), Selwyn Hollis's Video Calculus

Lesson: Finding Antiderivatives, Dale Hoffman's Contemporary Calculus provides a nice review of processes (properties of integrals, u-subs) from Calc I in preparation for Calc II.

rev. 2020-11-27