3.1.3: Trigonometry Integration
3.1.3.1: Trigonometry Integrands
Read this material on trigonometric integration, starting at "Trigonometric Integrands" and stopping at "Using Substitution on Definite Integrals." Then, continue on to watch the video entitled "Math Video Tutorials by James Sousa, Integration by Substitution, Part 2 of 2." This video discusses the process of integration by substitution (or the u-substitution method) and the basic trigonometric integrals. Then, complete review questions 8-12 toward the bottom of the page. These exercises will provide you with the opportunity to find indefinite integrals of trigonometric functions using the substitution method. The solutions to these problems are located here.
Complete exercises 6-9. These exercises will provide you with the opportunity to apply basic rules of integration. The solution for each problem can be found by clicking on the gray triangle beside each problem.
3.1.3.2: Trigonometry Integrals
Read this material on trigonometric integration. Then, continue on to watch all videos within the section. This material discusses the process of integration of powers of sines and cosines as well as secants and tangents. Then, complete review questions 1-7 toward the bottom of the page. These exercises will provide you with the opportunity to find indefinite integrals of trigonometric functions using the substitution method and trigonometric integrals. The solutions to these problems are located here
3.1.3.3: Trigonometry Substitutions
Take notes as you watch the video. Listen to the presentation carefully until you are able to understand how to apply rules of trigonometric substitutions to find specific indefinite integrals.
Read this material on trigonometric substitutions. Then, continue on to watch both videos within the section. This material discusses the process of integration using trigonometric integrals, substitution method for integrals, and other techniques. Then, complete review questions 1-7 toward the bottom of the page. These exercises will provide you with the opportunity to find indefinite integrals using trigonometric integrals, substitution method for integrals, and other techniques. The solutions to these problems are located here.