Jumat, 19 September 2008

Applications of the Integral



OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.


Textbook Components

  • Table of Contents (PDF)
  • Answers to Odd-Numbered Problems (PDF)
  • Equations (PDF)

7: Techniques of Integration, pp. 283-310

7.1 Integration by Parts, pp. 283-287
7.2 Trigonometric Integrals, pp. 288-293
7.3 Trigonometric Substitutions, pp. 294-299
7.4 Partial Fractions, pp. 300-304
7.5 Improper Integrals, pp. 305-310

Chapter 7 - complete (PDF - 2.6 MB)

Chapter 7 - sections:

7.1 - 7.3 (PDF - 1.7 MB)
7.4 - 7.5 (PDF - 1.0 MB)
8: Applications of the Integral, pp. 311-347

8.1 Areas and Volumes by Slices, pp. 311-319
8.2 Length of a Plane Curve, pp. 320-324
8.3 Area of a Surface of Revolution, pp. 325-327
8.4 Probability and Calculus, pp. 328-335
8.5 Masses and Moments, pp. 336-341
8.6 Force, Work, and Energy, pp. 342-347

Chapter 8 - complete (PDF - 3.4 MB)

Chapter 8 - sections:

8.1 - 8.3 (PDF - 1.7 MB)
8.4 - 8.6 (PDF - 2.0 MB)


Sumber:

MIT OCW

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