Chapter 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES
Sections
- 16.1 The Definite Integral of a Function of Two Variables
- 16.2 Iterated Integrals
- 16.3 Triple Integrals
- 16.4 Double Integrals in Polar Coordinates
- 16.5 Integrals in Cylindrical and Spherical Coordinates
- 16.6 Applications of Integration to Probability
- 16.7 Change of Variables in a Multiple Integral
Homework
- 16.1 -- 4, 6, 10, 16, 19, 20, 25, 26, 27, 29.
- 16.2 -- 6, 13, 16, 19, 21, 23, 27, 29, 35, 37, 46, 47, 54, 56.
- 16.3 -- 1, 2, 5, 6, 7, 16, 23, 24, 28, 35, 37, 41, 54.
- 16.4 -- 1, 3, 4, 10, 13, 16, 19, 22, 26.
- 16.5 -- 1, 3, 4, 6, 8, 10, 12, 14, 16, 19, 26, 24, 30, 31, 37, 43, 52.
- 16.6 -- 4, 11, 15, 16, 17.
- 16.7 -- 8, 12, 13, 15, 17, 19, 25.
Review Exercises
Consolidate your understanding of the concepts in this chapter by working through a number of these exercises.
- Review exercises and problems for chapter 16 -- 4, 8, 11, 12, 15, 27, 30, 43, 48, 49, 51, 54, 55, 59, 63, 70, 71
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