LESSON NOTES MENU
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Calculus II
Topic: Integration Techniques
Subtopic: Trigonometric Integrals

Overview

Our focus today is on evaluating integrals of products or quotients of trigonometric functions such as ∫sin3x cos2x dx and ∫sec5x dx, or ∫sin5x/cos3x dx. These trigonometric integrals may require rewriting via identities, u-substitutions, and/or integration by parts. Each type of integral requires a particular plan of attack which we study in this lesson.

Objectives

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

Terminology

Define: products of trig functions, quotients of trig functions, trig function of a sum or difference

Supplemental Resources (optional)

Video: Integration of Powers and Products of Sine and Cosine, Selwyn Hollis's Video Calculus

Video: Integration of Powers and Products of Secant and Tangent and Cosecant and Cotangent, Selwyn Hollis's Video Calculus

Lesson: Integrals of Trig Functions, Dale Hoffman's Contemporary Calculus