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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

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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