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

Overview

We have used the u-substitution method to evaluate indefinite integrals, but here we use it to evaluate definite integrals. Note that with indefinite integrals at the end of the process we convert back to in terms of x, but with definite integrals we convert everything to in terms of u, including the limits of integration, and never return to x.

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: convert limits of integration to "in terms of u"

Mini-Lectures and Examples

STUDY: Integration by Substitution

Supplemental Resources (optional)

Lesson: First Applications of Definite Integrals, Dale Hoffman's Contemporary Calculus includes a variety of applications for motivation for the transition from Calc I to Calc II.

rev. 2020-11-27