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Interactive Calculus Q2

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Interactive Calculus Q2

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

Mathematics
Author
Larry Green
Publisher
Lake_Tahoe_Community_College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 65 sections
  1. 01: Integration
  2. 1.01: Approximating Areas
  3. 1.1E: Exercises for Section 1.1
  4. 1.02: The Definite Integral
  5. 1.2E: Exercises for Section 1.2
  6. 1.03: The Fundamental Theorem of Calculus
  7. 1.3E: Exercises for Section 1.3
  8. 1.04: Integration Formulas and the Net Change Theorem
  9. 1.4E: Exercises for Section 1.4
  10. 1.05: Substitution
  11. 1.5E: Exercises for Section 1.5
  12. 1.06: Integrals Involving Exponential and Logarithmic Functions
  13. 1.6E: Exercises for Section 1.6
  14. 1.07: Integrals Resulting in Inverse Trigonometric Functions
  15. 1.7E: Exercises for Section 1.7
  16. 1.08: Chapter 5 Review Exercises
  17. 02: Applications of Integration
  18. 2.01: Prelude to Applications of Integration
  19. 2.02: Areas between Curves
  20. 2.2E: Exercises for Section 2.2
  21. 2.03: Determining Volumes by Slicing
  22. 2.3E: Exercises for Section 2.3
  23. 2.04: Volumes of Revolution - Cylindrical Shells
  24. 2.4E: Exercises for Section 2.4
  25. 2.05: Arc Length of a Curve and Surface Area
  26. 2.5E: Exercises for Section 2.5
  27. 2.06: Physical Applications of Integration
  28. 2.6E: Exercises for Section 2.6
  29. 2.07: Moments and Centers of Mass
  30. 2.7E: Exercises for Section 2.7
  31. 2.08: Integrals Exponential Functions and Logarithms
  32. 2.8E: Exercises for Section 2.8
  33. 2.09: Exponential Growth and Decay
  34. 2.9E: Exercises for Section 2.9
  35. 2.10: Calculus of the Hyperbolic Functions
  36. 2.10E: Exercises for Section 2.10
  37. 2.11: Chapter 2 Review Exercises
  38. 03: Techniques of Integration
  39. 3.01: Prelude to Techniques of Integration
  40. 3.02: Integration by Parts
  41. 3.2E: Exercises for Section 3.2
  42. 3.03: Trigonometric Integrals
  43. 3.3E: Exercises for Section 3.3
  44. 3.04: Trigonometric Substitution
  45. 3.4E: Exercises for Section 3.4
  46. 3.05: Partial Fractions
  47. 3.5E: Exercises for Section 3.5
  48. 3.06: Other Strategies for Integration
  49. 3.6E: Exercises for Section 3.6
  50. 3.07: Numerical Integration
  51. 3.7E: Exercises for Section 3.7
  52. 3.08: Improper Integrals
  53. 3.8E: Exercises for Section 3.8
  54. 3.09: Chapter 7 Review Exercises
  55. 04: Introduction to Differential Equations
  56. 4.01: Prelude to Differential Equations
  57. 4.02: Basics of Differential Equations
  58. 4.2E: Exercises for Section 4.2
  59. 4.03: Direction Fields and Numerical Methods
  60. 4.3E: Exercises for Section 4.3
  61. 4.04: Separable Equations
  62. 4.4E: Exercises for Section 4.4
  63. 4.05: The Logistic Equation
  64. 4.5E: Exercises for Section 4.5
  65. 4.06: Chapter 8 Review Exercises