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  1. Урок 1. 00:01:27
    Hi! START HERE: Course overview
  2. Урок 2. 00:05:11
    Antiderivatives and indefinite integrals
  3. Урок 3. 00:06:11
    Indefinite integrals
  4. Урок 4. 00:05:35
    Properties of integrals
  5. Урок 5. 00:04:43
    Find f given f''
  6. Урок 6. 00:07:20
    Find f given f'''
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    Initial value problems
  8. Урок 8. 00:08:27
    Find f given f'' and initial conditions
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    Definite integrals
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    Area under or enclosed by the graph
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    Definite integrals of even functions
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    Definite integrals of odd functions
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    Summation notation, finding the sum
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    Summation notation, expanding
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    Summation notation, collapsing
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    Riemann sums, left endpoints
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    Riemann sums, right endpoints
  18. Урок 18. 00:10:22
    Riemann sums, midpoints
  19. Урок 19. 00:10:08
    Over and underestimation
  20. Урок 20. 00:16:07
    Limit process to find area on [a,b]
  21. Урок 21. 00:12:50
    Limit process to find area on [-a,a]
  22. Урок 22. 00:10:31
    Trapezoidal rule
  23. Урок 23. 00:10:25
    Simpson's rule
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    Midpoint rule error bound
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    Trapezoidal rule error bound
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    Simpson's rule error bound
  27. Урок 27. 00:11:33
    Part 1
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    Part 2
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    Net change theorem
  30. Урок 30. 00:08:04
    U-substitution
  31. Урок 31. 00:10:37
    U-substitution in definite integrals
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    Integration by parts
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    Integration by parts two times
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    Integration by parts three times
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    Integration by parts with u-substitution
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    Prove the reduction formula
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    Tabular integration
  38. Урок 38. 00:12:40
    Distinct linear factors
  39. Урок 39. 00:09:00
    Distinct linear factors, example 2
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    Distinct linear factors, example 3
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    Distinct quadratic factors
  42. Урок 42. 00:16:06
    Distinct quadratic factors, example 2
  43. Урок 43. 00:08:16
    Distinct quadratic factors, example 3
  44. Урок 44. 00:12:38
    Repeated linear factors
  45. Урок 45. 00:14:35
    Repeated quadratic factors
  46. Урок 46. 00:16:41
    Repeated quadratic factors, example 2
  47. Урок 47. 00:12:30
    Rationalizing substitutions
  48. Урок 48. 00:20:22
    How to factor a difficult denominator
  49. Урок 49. 00:19:29
    Two ways to find the constants
  50. Урок 50. 00:03:10
    Trigonometric integrals
  51. Урок 51. 00:11:08
    Trigonometric integrals, example 2
  52. Урок 52. 00:09:59
    sin^m cos^n, odd m
  53. Урок 53. 00:11:05
    sin^m cos^n, odd n
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    sin^m cos^n, m and n even
  55. Урок 55. 00:05:25
    tan^m sec^n, odd m
  56. Урок 56. 00:05:30
    tan^m sec^n, even n
  57. Урок 57. 00:05:18
    tan^m sec^n, even n, example 2
  58. Урок 58. 00:03:38
    sin(mx) cos(nx)
  59. Урок 59. 00:04:14
    sin(mx) sin(nx)
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    cos(mx) cos(nx)
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    Hyperbolic integrals
  62. Урок 62. 00:03:54
    Inverse hyperbolic integrals
  63. Урок 63. 00:13:13
    Trigonometric substitution setup
  64. Урок 64. 00:13:36
    Trigonometric substitution with secant
  65. Урок 65. 00:12:22
    Trigonometric substitution with sine
  66. Урок 66. 00:14:49
    Trigonometric substitution with sine, example 2
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    Trigonometric substitution with tangent
  68. Урок 68. 00:21:37
    Trigonometric substitution with tangent, example 2
  69. Урок 69. 00:14:04
    Quadratic functions
  70. Урок 70. 00:04:34
    What makes an integral improper?
  71. Урок 71. 00:07:43
    Case 1 [a,infinity)
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    Case 2 (-infinity,b]
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    Case 3 (-infinity,infinity)
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    Case 4 (discontinuity at b)
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    Case 5 (discontinuity at a)
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    Case 6 (discontinuity between a and b)
  77. Урок 77. 00:11:18
    Comparison theorem
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    Integrals using reduction formulas
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    Upper and lower curves
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    Left and right curves
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    Sketching the area between curves
  82. Урок 82. 00:11:44
    Dividing the area between curves into equal parts
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    Arc length of a curve in the form y=f(x)
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    Arc length of a curve in the form x=g(y)
  85. Урок 85. 00:10:21
    Arc length using simpson's rule
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    Average value
  87. Урок 87. 00:03:59
    Mean value theorem for integrals
  88. Урок 88. 00:09:35
    Surface area of revolution
  89. Урок 89. 00:11:45
    Surface area of revolution using simpson's ule
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    Surface of revolution equation
  91. Урок 91. 00:36:06
    Volume of revolution, major axes of revolution
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    Disks, horizontal axis
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    Disks, vertical axis
  94. Урок 94. 00:06:26
    Disks, vertical axis, example 2
  95. Урок 95. 00:17:19
    Disks, volume of the frustum
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    Washers, horizontal axis
  97. Урок 97. 00:08:02
    Washers, horizontal axis, example 2
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    Washers, vertical axis
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    Cylindrical shells, horizontal axis
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    Cylindrical shells, vertical axis
  101. Урок 101. 00:10:49
    Cylindrical shells, vertical axis, example 2
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    Work done to lift a mass or weight
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    Work done on elastic springs
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    Work done to empty a tank
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    Work done by a variable force
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    Moments of the system
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    Moments of the system, x-axis
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    Center of mass of the system
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    Center of mass of the system, x-axis
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    Hydrostatic pressure
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    Hydrostatic force
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    Vertical motion
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    Rectilinear motion
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    Centroids of plane regions
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    Centroids of plane regions using simpson's rule
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    Area of the triangle with the given vertices
  117. Урок 117. 00:04:41
    Single deposit, compounded n times, future value
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    Single deposit, compounded n times, present value
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    Single deposit, compounded continuously, future value
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    Single deposit, compounded continuously, present value
  121. Урок 121. 00:06:18
    Income stream, compounded continuously, future value
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    Income stream, compounded continuously, present value
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    Consumer and producer surplus
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    Probability density
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    Cardiac output
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    Cardiac output using simpson's rule
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    Poiseuille's law
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    Theorem of pappus
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    Eliminating the parameter
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    Derivative of a parametric curve
  131. Урок 131. 00:03:53
    Second derivative of a parametric curve
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    Sketching parametric curves by plotting points
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    Tangent line to the parametric curve
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    Area under a parametric curve
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    Area under one arc or loop of a parametric curve
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    Arc length of a parametric curve
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    Arc length, particle motion
  138. Урок 138. 00:09:23
    Arc length, simpson's rule
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    Surface area of revolution of a parametric curve, horizontal axis
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    Surface area of revolution of a parametric curve, vertical axis
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    Volume of revolution of a parametric curve
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    Converting to polar coordinates
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    Converting rectangular equations
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    Converting polar equations
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    Distance between polar points
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    Sketching polar curves
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    Sketching polar curves from cartesian curves
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    Tangent line to the polar curve
  149. Урок 149. 00:10:22
    Vertical and horizontal tangent lines to the polar curve
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    Intersection of polar curves
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    Area inside a polar curve
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    Area bounded by one loop of a polar curve
  153. Урок 153. 00:14:22
    Area between polar curves
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    Area inside both polar curves
  155. Урок 155. 00:07:29
    Arc length of a polar curve
  156. Урок 156. 00:06:44
    Arc length of a polar curve, example 2
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    Surface area of revolution of a polar curve
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    Listing the first terms
  159. Урок 159. 00:03:37
    Calculating the first terms
  160. Урок 160. 00:06:28
    Formula for the general term
  161. Урок 161. 00:07:47
    Convergence of a sequence
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    Limit of a convergent sequence
  163. Урок 163. 00:11:34
    Increasing, decreasing, and not monotonic
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    Bounded sequences
  165. Урок 165. 00:05:02
    Calculating the first terms of a sequence of partial sums
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    Sum of the sequence of partial sums
  167. Урок 167. 00:11:40
    Geometric series test
  168. Урок 168. 00:10:16
    Sum of the geometric series
  169. Урок 169. 00:05:53
    Values for which the series converges
  170. Урок 170. 00:08:38
    Geometric series for repeating decimals
  171. Урок 171. 00:06:50
    Convergence of a telescoping series
  172. Урок 172. 00:09:00
    Sum of a telescoping series
  173. Урок 173. 00:05:06
    Limit vs. sum of the series
  174. Урок 174. 00:11:16
    Integral test
  175. Урок 175. 00:03:03
    p-series test
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    nth term test
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    Comparison test
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    Limit comparison test
  179. Урок 179. 00:11:58
    Error or remainder of a series
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    Ratio test
  181. Урок 181. 00:10:55
    Ratio test with factorials
  182. Урок 182. 00:04:31
    Root test
  183. Урок 183. 00:13:45
    Absolute and conditional convergence
  184. Урок 184. 00:13:38
    Alternating series test
  185. Урок 185. 00:13:06
    Alternating series estimation theorem
  186. Урок 186. 00:19:56
    Power series representation
  187. Урок 187. 00:06:53
    Power series multiplication
  188. Урок 188. 00:05:15
    Power series division
  189. Урок 189. 00:16:32
    Power series differentiation
  190. Урок 190. 00:09:31
    Radius of convergence
  191. Урок 191. 00:16:37
    Interval of convergence
  192. Урок 192. 00:11:17
    Estimating definite integrals
  193. Урок 193. 00:12:04
    Estimating indefinite integrals
  194. Урок 194. 00:27:20
    Binomial series
  195. Урок 195. 00:08:00
    Taylor series
  196. Урок 196. 00:20:45
    Radius and interval of convergence of a Taylor series
  197. Урок 197. 00:12:07
    Taylor's inequality
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    Maclaurin series
  199. Урок 199. 00:06:09
    Sum of the Maclaurin series
  200. Урок 200. 00:09:35
    Radius and interval of convergence of a Maclaurin series
  201. Урок 201. 00:08:01
    Indefinite integral as an infinite series
  202. Урок 202. 00:09:40
    Maclaurin series to estimate an indefinite integral
  203. Урок 203. 00:07:19
    Maclaurin series to estimate a definite integral
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    Maclaurin series to evaluate a limit
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    Wrap-up