Survey
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Download Trigonometric integrals by advanced methods
Transcript
Summary ï By using less common formulae from trigonometry, or by discovering unusual algebraic tricks, it is possible to integrate trigonometric functions that are cannot be handled by the more basic methods. ï There are many ways to do that and you may want to discover more on your own. Common errors to avoid ï Donât make up formulae: make sure they are correct before using them! Learning questions for Section I 2-8 Review questions: 1. Describe how the half-angle formulae are used as power-reducing formulae. 2. Explain when and how to use the product-to-sum formulae. 3. Explain when and how the Weierstrass substitution may be useful. Memory questions: 1. What is the half-angle (or power reducing) formula for the sine function? 4. What method is used to integrate products of sines and cosines of different angles? 2. What is the half-angle (or power reducing) formula for the cosine function? 3. What method is used to evaluate the integral ï² sin Integral Calculus 2n 5. What is the indefinite integral of f ( x) ï½ sec x ? xdx ? Chapter 2: Integration methods Section 8: Trigonometric integrals by advanced methods Page 5
