Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Calculus II
Topic: Integration Techniques
Subtopic: General Strategy

Overview

Now that we have several techniques of integration in our toolbox, it is important to be able to determine which technique(s) would work given an integral to evaluate. This is often refered to as a general strategy, but I think of it as an overview of all the techniques and a method to choose which to use.

Objectives

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

• 8.5.1 Apply variety of algebraic methods to simplify and integand or convert integrand to a form more easily integrable.
• 8.5.2 Recognize when to use u-substitution, integration by parts, trig integral method, and trig substitution techniques.
• 8.5.3 Use a flowchart (see suggestions below) to help you decide which technique to use.

Mini-Lectures and Examples

Supplemental Resources (recommended)

One of the difficult aspects of this material is to know which integration technique to use. Here are some resources that may help. If you find better ones please share in class!

rev. 2021-02-13