Interactive Calculus Q2

by Larry Green

Read here Read at LibreTextsPDF

Applications of the integral, techniques of integration, exponential and logarithmic functions, hyperbolic functions, and inverse trigonometric functions will be studied.

Description from LibreTexts.

Publisher
Lake_Tahoe_Community_College
Subjects
Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Integration
  7. 1.1: Approximating Areas
  8. 1.1E: Exercises for Section 1.1
  9. 1.2: The Definite Integral
  10. 1.2E: Exercises for Section 1.2
  11. 1.3: The Fundamental Theorem of Calculus
  12. 1.3E: Exercises for Section 1.3
  13. 1.4: Integration Formulas and the Net Change Theorem
  14. 1.4E: Exercises for Section 1.4
  15. 1.5: Substitution
  16. 1.5E: Exercises for Section 1.5
  17. 1.6: Integrals Involving Exponential and Logarithmic Functions
  18. 1.6E: Exercises for Section 1.6
  19. 1.7: Integrals Resulting in Inverse Trigonometric Functions
  20. 1.7E: Exercises for Section 1.7
  21. 1.8: Chapter 1 Review Exercises
  22. 2: Applications of Integration
  23. 2.1: Prelude to Applications of Integration
  24. 2.2: Areas between Curves
  25. 2.2E: Exercises for Section 2.2
  26. 2.3: Determining Volumes by Slicing
  27. 2.3E: Exercises for Section 2.3
  28. 2.4: Volumes of Revolution - Cylindrical Shells
  29. 2.4E: Exercises for Section 2.4
  30. 2.5: Arc Length of a Curve and Surface Area
  31. 2.5E: Exercises for Section 2.5
  32. 2.6: Physical Applications of Integration
  33. 2.6E: Exercises for Section 2.6
  34. 2.7: Moments and Centers of Mass
  35. 2.7E: Exercises for Section 2.7
  36. 2.8: Integrals, Exponential Functions, and Logarithms
  37. 2.8E: Exercises for Section 2.8
  38. 2.9: Exponential Growth and Decay
  39. 2.9E: Exercises for Section 2.9
  40. 2.10: Calculus of the Hyperbolic Functions
  41. 2.10E: Exercises for Section 2.10
  42. 2.11: Chapter 2 Review Exercises
  43. 3: Techniques of Integration
  44. 3.1: Prelude to Techniques of Integration
  45. 3.2: Integration by Parts
  46. 3.2E: Exercises for Section 3.2
  47. 3.3: Trigonometric Integrals
  48. 3.3E: Exercises for Section 3.3
  49. 3.4: Trigonometric Substitution
  50. 3.4E: Exercises for Section 3.4
  51. 3.5: Partial Fractions
  52. 3.5E: Exercises for Section 3.5
  53. 3.6: Other Strategies for Integration
  54. 3.6E: Exercises for Section 3.6
  55. 3.7: Numerical Integration
  56. 3.7E: Exercises for Section 3.7
  57. 3.8: Improper Integrals
  58. 3.8E: Exercises for Section 3.8
  59. 3.9: Chapter 3 Review Exercises
  60. 4: Introduction to Differential Equations
  61. 4.1: Prelude to Differential Equations
  62. 4.2: Basics of Differential Equations
  63. 4.2E: Exercises for Section 4.2
  64. 4.3: Direction Fields and Numerical Methods
  65. 4.3E: Exercises for Section 4.3
  66. 4.4: Separable Equations
  67. 4.4E: Exercises for Section 4.4
  68. 4.5: The Logistic Equation
  69. 4.5E: Exercises for Section 4.5
  70. 4.6: Chapter 4 Review Exercises
  71. Back Matter
  72. Index
  73. Glossary
  74. Detailed Licensing