Some Helpful Review Topics

Below Is a Review of Integration Techniques

Section 4.8

  • Lesson 1: An Quick Overview of Antiderivatives, Indefinite Integrals, and Differential Equations

  • Examples: Basic Antiderivatives and Indefinite Integrals

  • Examples: More Complicated and Commonly Missed Indefinite Integrals

Section 5.4

  • Examples of Evaluating Definite Integrals - Basic Examples

  • Examples of Evaluating Definite Integrals - Tricky Trig Examples

  • Examples of Evaluating Definite Integrals - Tricky Non-Trig Examples

Section 5.5

  • Lesson 1: An Overview of the Substitution Method - A Long but Complete Guide

  • Lesson 2: Using the Substitution Method with New Trig Integrals

  • Basic Examples of the Substitution Method

  • Examples of the Substitution Method where Some Manipulation is Needed

  • Difficult Examples of the Substitution Method where Significant Creativity is Needed

Section 5.6

  • Lesson 1: Two Ways of Evaluating Definite Integrals using the Substitution Method

  • Examples: Substitution and Definite Integrals

  • Step-by-Step Example: Substitution and Definite Integrals where Simplifying the Final Answer is Tricky

  • Step-by-Step Example: Substitution and Definite Integrals with Tricky Trig

  • Lesson 2: Symmetric Functions and Definite Integrals