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Techniques for Integrating Trigonometric Functions and Applications

This section focuses on the integration of logarithmic and trigonometric functions, specifically utilizing techniques to evaluate integrals of functions like sec(x) and csc(x). It emphasizes the application of integration to various problems, including finding the area under a curve, the area between two curves, volumes of solids of revolution, and arc lengths. Additionally, problems assigned on page 340 (items 31-39 and 59) will reinforce these concepts through practice scenarios and examples for a comprehensive understanding of integration applications.

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Techniques for Integrating Trigonometric Functions and Applications

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  1. Section 5-2-B Trig Integration of ln

  2. 7) Evaluate

  3. 8) Evaluate The same technique can be applied to sec(x) and csc(x)

  4. Integrals of Trig. Functions

  5. Applications • Applies to all integration applications • Area under the curve • Area between two curves • Volumes • Arc Length • Area of Surface Revolutions

  6. 9) Find the average value on the interval

  7. Assignment Page 340 # 31-39 all, and 59

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