Line Integrals 
Line Integrals
by Patrick JMT
Video Lecture 48 of 60
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Date Added: July 19, 2009

Lecture Description

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Course Index

  1. Summation Notation
  2. The Definite Integral: Understanding the Definition
  3. Approximating a Definite Integral Using Rectangles
  4. Trapezoidal Rule to Approximate a Definite Integral
  5. Simpson's Rule to Approximate a Definite Integral
  6. Simpson's Rule and Error Bounds
  7. Calculating a Definite Integral Using Riemann Sums (Part 1)
  8. Calculating a Definite Integral Using Riemann Sums (Part 2)
  9. Basic Integration Formulas
  10. Basic Antiderivate Examples: Indefinite Integral
  11. More Basic Integration Problems
  12. Basic Definite Integral Example
  13. Indefinite Integral: U-substitution
  14. Definite Integral: U-substitution
  15. More Integration Using U-Substitution (Part 1)
  16. More Integration Using U-Substitution (Part 2)
  17. Integration Involving Inverse Trigonometric Functions
  18. Integration By Parts: Indefinite Integral
  19. Integration By Parts: Definite Integral
  20. Indefinite/Definite Integral Examples
  21. Integration By Parts: Using IBP's Twice
  22. Integration By Parts: A "Loopy" Example
  23. Trigonometric Integrals: Part 1 of 6
  24. Trigonometric Integrals: Part 2 of 6
  25. Trigonometric Integrals: Part 3 of 6
  26. Trigonometric Integrals: Part 4 of 6
  27. Trigonometric Integrals: Part 5 of 6
  28. Trigonometric Integrals: Part 6 of 6
  29. Trigonometric Substitution (Part 1)
  30. Trigonometric Substitution (Part 2)
  31. Trigonometric Substitution (Part 3)
  32. Trigonometric Substitution (Part 4)
  33. Trigonometric Substitution (Part 5)
  34. Partial Fractions: Decomposing a Rational Function
  35. Partial Fractions: Coefficients of a Partial Fraction Decomposition
  36. Partial Fractions: Problem
  37. Partial Fractions: Problem Using a Rationalizing Substitution
  38. Calculating Double Integrals Over Rectangular Regions
  39. Calculating Double Integrals Over General Regions
  40. Reversing the Order of Integration (Part 1)
  41. Reversing the Order of Integration (Part 2)
  42. Finding Areas in Polar Coordinates
  43. Double Integral Using Polar Coordinates (Part 1)
  44. Double Integral Using Polar Coordinates (Part 2)
  45. Double Integral Using Polar Coordinates (Part 3)
  46. Triple Integrals
  47. Triple Integrals in Spherical Coordinates
  48. Line Integrals
  49. Solving First Order Linear Differential Equations
  50. Finding Centroids/Centers of Mass (Part 1)
  51. Finding Centroids/Centers of Mass (Part 2)
  52. Improper Integrals: Introduction
  53. Improper Integrals: Using L'Hospitals Rule
  54. Improper Integrals: Infinity in the Upper and Lower Limit
  55. Improper Integrals: Infinite Discontinuity at an Endpoint
  56. Improper Integrals: Infinite Discontinuity in the Middle of the Interval
  57. Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Horizontal Line
  58. Volumes of Revolution: Disk/Washer Method & Rotating Regions About a Vertical Line
  59. Volumes of Revolution: Disk/Washer Method (cont.)
  60. Work Problems: Finding the Work To Empty a Tank Full of Water

Course Description

In this course, Calculus Instructor Patrick gives 60 video lectures on Integral Calculus. Some of the topics covered are: Indefinite Integrals, Definite Integrals, Trigonometric Integrals, Trigonometric Substitution, Partial Fractions, Double Integrals, Triple Integrals, Polar Coordinates, Spherical Coordinates, Line Integrals, Centroids/Centers of Mass, Improper Integrals, Volumes of Revolution, Work, and many more.

Tags: Math, Math Calculus


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