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Lecture 1
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Getting started l Course overview l A to Z Calculus 2
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00:01:24 Duration
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Lecture 2
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Integrals l Antiderivatives and indefinite integrals
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00:05:11 Duration
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Lecture 3
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Integrals l Indefinite integrals l A to Z Calculus 2
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00:06:10 Duration
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Lecture 4
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Integrals l Properties of integrals l A to Z Calculus 2
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00:05:34 Duration
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Lecture 5
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Integrals l Find f given f''
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00:04:42 Duration
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Lecture 6
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Integrals l Find f given f''' l A complete comprehensive calculus
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00:07:19 Duration
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Lecture 7
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Integrals l Initial value problems
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00:06:54 Duration
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Lecture 8
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Integrals l Find f given f'' l initial conditions
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00:08:26 Duration
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Lecture 9
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Integrals l Definite integrals l A to Z Calculus 2
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00:05:07 Duration
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Lecture 10
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Integrals l Definite integrals l Area under or enclosed by the graph
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00:05:55 Duration
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Lecture 11
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Definite integrals of even functions
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00:05:00 Duration
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Lecture 12
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Integrals l Definite integrals of odd function
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00:07:38 Duration
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Lecture 13
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Integrals l Riemann sums l Summation notation l finding the sum
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00:03:47 Duration
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Lecture 14
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Integrals l Riemann sums l Summation notation
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00:03:19 Duration
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Lecture 15
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Riemann sums l Summation notation, collapsing
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00:05:03 Duration
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Lecture 16
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Riemann sums l Riemann sums l left endpoints
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00:09:01 Duration
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Lecture 17
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Riemann sums l Riemann sums l right endpoints
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00:15:15 Duration
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Lecture 18
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Integral l Other approximation method l Over and underestimation
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00:10:08 Duration
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Lecture 19
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Other approximation methods l Limit process to find area on a,b
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00:16:06 Duration
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Lecture 20
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Other approximation methods l Limit process find area on a,a
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00:12:50 Duration
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Lecture 21
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Other approximation method l Trapezoidal rule
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00:10:31 Duration
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Lecture 22
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Integrals l Other approximation methods l Simpson's rule
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00:10:25 Duration
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Lecture 23
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Error bounds l Midpoint rule error bound
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00:22:18 Duration
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Lecture 24
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Integrals l Error bounds l Simpson's rule error bound
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00:19:35 Duration
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Lecture 25
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Error bounds l Trapezoidal rule error bound
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00:20:52 Duration
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Lecture 26
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Fundamental theorem of calculus l Part 1
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00:11:32 Duration
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Lecture 27
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Fundamental theorem of calculus l Part 2
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00:07:26 Duration
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Lecture 28
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Fundamental theorem of calculus l Net change theorem
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00:06:34 Duration
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Lecture 29
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U-substitution
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00:08:04 Duration
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Lecture 30
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U-substitution l U substitution in definite integrals
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00:10:36 Duration
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Lecture 31
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Integration by parts
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00:07:46 Duration
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Lecture 32
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Integrals l Integration by part l Integration by parts two time
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00:13:36 Duration
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Lecture 33
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Integration by parts l Integration by parts three times
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00:10:31 Duration
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Lecture 34
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Integration by parts l Integration by parts with u substitution
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Lecture 35
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Integration by parts l reduction formula
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00:07:13 Duration
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Lecture 36
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Integration by parts l Tabular integration
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00:08:49 Duration
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Lecture 37
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Integrals l Partial fractions l Distinct linear factors
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00:12:39 Duration
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Lecture 38
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Partial fractions l Distinct linear factors
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00:08:59 Duration
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Lecture 39
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Integrals l Partial fractions l Distinct linear factors
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00:08:38 Duration
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Lecture 40
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Partial fractions l Distinct quadratic factors
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00:16:03 Duration
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Lecture 41
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Partial fraction l Distinct quadratic factor
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00:16:05 Duration
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Lecture 42
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Partial fractions l Distinct quadratic factors
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00:08:15 Duration
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Lecture 43
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Partial fractions l Repeated linear factors
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00:12:37 Duration
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Lecture 44
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Partial fraction l Repeated quadratic factor
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00:14:34 Duration
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Lecture 45
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Integrals l Partial fractions l Repeated quadratic factors
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00:16:40 Duration
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Lecture 46
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Integrals l Rationalizing substitutions
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00:12:29 Duration
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Lecture 47
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Partial fractions l How to factor a difficult denominator
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00:20:22 Duration
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Lecture 48
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Partial fractions l Two ways to find the constants
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00:19:28 Duration
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Lecture 49
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Trigonometric integral
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00:03:10 Duration
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Lecture 50
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Trigonometric integrals
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00:11:07 Duration
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Lecture 51
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Trigonometric integrals l sin^m cos^n, odd m
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00:09:58 Duration
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Lecture 52
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Integrals l Trigonometric integrals l sin^m cos^n, odd n
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00:11:05 Duration
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Lecture 53
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Trigonometric integrals l sin^m cos^n, m and n even
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00:07:19 Duration
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Lecture 54
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Trigonometric integrals l tan^m sec^n, odd m
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00:05:24 Duration
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Lecture 55
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Trigonometric integrals -55 l tan^m sec^n, even n
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00:05:30 Duration
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Lecture 56
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Integrals l Trigonometric integrals l tan^m sec^n, even n
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00:05:17 Duration
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Lecture 57
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Integrals l Trigonometric integrals l sinmx cosnx
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00:03:37 Duration
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Lecture 58
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Trigonometric integrals l sinmx sinnx
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00:04:13 Duration
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Lecture 59
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Integrals l Trigonometric integrals l cosmx cosnx
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00:04:23 Duration
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Lecture 60
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Integrals l Hyperbolic integrals
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00:02:36 Duration
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Lecture 61
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Hyperbolic integrals l Inverse hyperbolic integrals
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00:03:53 Duration
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Lecture 62
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Trigonometric substitution
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00:13:12 Duration
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Lecture 63
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Integrals l Trigonometric substitution with secant
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00:13:36 Duration
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Lecture 64
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Trigonometric substitution with sine
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00:12:21 Duration
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Lecture 65
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Trigonometric substitution with sine
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Lecture 66
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Integrals l Trigonometric substitution with tangent
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00:14:48 Duration
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Lecture 67
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Trigonometric substitution with a tangent
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00:21:36 Duration
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Lecture 68
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Trigonometric substitution l Quadratic function
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00:14:03 Duration
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Lecture 69
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Improper integrals l What makes an integral improper
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00:04:33 Duration
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Lecture 70
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Improper integrals l infinity
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00:07:43 Duration
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Lecture 71
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Improper integrals l Case 2 l infinity,b
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00:05:39 Duration
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Lecture 72
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Improper integrals l Case 3 l infinity
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00:12:20 Duration
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Lecture 73
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Improper integrals l discontinuity at b
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00:14:06 Duration
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Lecture 74
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Improper integrals l Case 5 l discontinuity at a
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00:06:51 Duration
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Lecture 75
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Improper integrals l discontinuity between a and b
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00:08:36 Duration
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Lecture 76
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Integrals l Improper integrals l Comparison theorem
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00:11:17 Duration
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Lecture 77
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Applications of Integrals l Area between curves l Upper and lower curves
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Lecture 78
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Applications of Integrals l Area between curves l Left and right curves
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00:07:03 Duration
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Lecture 79
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Application of Integral l Area between curve l Sketching area between curves
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00:10:43 Duration
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Lecture 80
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Applications of Integrals l Dividing area between curves into equal parts
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00:11:43 Duration
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Lecture 81
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Applications of Integrals l Arc length l Arc length curve in the form y=fx
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00:07:42 Duration
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Lecture 82
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Application of Integral l Arc length l Arc length of curve in the form x=gy
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00:11:09 Duration
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Lecture 83
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Applications of Integrals l Arc length l Arc length using simpson's rule
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00:10:20 Duration
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Lecture 84
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Applications of Integrals l Average value l Average value
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00:06:00 Duration
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Lecture 85
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Application of Integral l Average value l Mean value theorem for integrals
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00:03:58 Duration
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Lecture 86
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Application of Integral l Surface area of revolution
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00:09:35 Duration
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Lecture 87
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Applications of Integrals l Surface area revolution using simpson's rule
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00:11:45 Duration
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Lecture 88
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Applications of Integrals l Surface of revolution equation
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00:05:09 Duration
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Lecture 89
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Applications of Integrals l Volume of revolution l major axe of revolution
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00:36:05 Duration
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Lecture 90
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Applications of Integrals l Volume of revolution l Disks l horizontal axis
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00:08:46 Duration
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Lecture 91
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Applications of Integrals l Volume of revolution l Disks l vertical axis
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00:09:47 Duration
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Lecture 92
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Applications of Integrals l Volume of revolution l Disks l vertical axis
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00:06:25 Duration
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Lecture 93
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Application of Integral l Volume of revolution l Disks l volume of frustum
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00:17:18 Duration
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Lecture 94
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Application of Integral l Volume of revolution l Washers l horizontal axis
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00:10:53 Duration
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Lecture 95
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Application of Integral l Volume of revolution l Washers l horizontal axis
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00:08:02 Duration
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Lecture 96
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Applications of Integral l Volume of revolution l Washers l vertical axis
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00:10:20 Duration
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Lecture 97
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Volume of revolution l Cylindrical shells horizontal axis
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00:11:07 Duration
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Lecture 98
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Volume of revolution l Cylindrical shells l vertical axis
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00:13:25 Duration
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Lecture 99
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Applications of Integrals l Cylindrical shells l vertical axis
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00:10:48 Duration
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Lecture 100
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Work done to lift a mass or weight
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00:07:40 Duration
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Lecture 101
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Applications of Integrals l Work done on elastic springs
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00:08:16 Duration
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Lecture 102
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Applications of Integrals l Work done to empty a tank
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00:18:30 Duration
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Lecture 103
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Applications of Integrals l Work done by a variable force
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00:04:09 Duration
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Lecture 104
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Applications of Integrals l Physics l Moments of the system
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00:04:25 Duration
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Lecture 105
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Applications of Integrals l Physics l Moments of the system, x axis
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00:02:55 Duration
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Lecture 106
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Applications of Integrals l Physics l Center of mass of the system
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00:02:25 Duration
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Lecture 107
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Applications of Integrals l Physics l Center of mass of system, x axis
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00:03:16 Duration
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Lecture 108
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Applications of Integrals l Physics l Hydrostatic pressure
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00:04:57 Duration
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Lecture 109
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Applications of Integrals l Physics l Hydrostatic force
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Lecture 110
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Applications of Integrals l Physics-111 l Vertical motion
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00:09:50 Duration
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Lecture 111
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Applications of Integrals l Physics l Rectilinear motion
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00:05:39 Duration
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Lecture 112
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Applications of Integrals l Geometry l Centroids of plane regions
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00:08:39 Duration
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Lecture 113
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Geometry l Centroids plane regions using simpson's rule
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00:13:26 Duration
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Lecture 114
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Geometry l Area of the triangle with the given vertices
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00:11:36 Duration
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Lecture 115
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Economics l Single deposit l compounded n times l future value
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00:04:41 Duration
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Lecture 116
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Single deposit l compounded n times l present value
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00:10:39 Duration
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Lecture 117
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Single deposit l compounded continuously l future value
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00:02:19 Duration
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Lecture 118
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Integral l Single deposit l compounded continuously l present value
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00:07:20 Duration
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Lecture 119
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Integrals l Income stream l compounded continuously l future value
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00:06:17 Duration
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Lecture 120
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Income stream l compounded continuously l present value l Calcu
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00:03:37 Duration
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Lecture 121
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Applications of Integrals l Economics l Consumer and producer surplus
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00:07:11 Duration
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Lecture 122
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Applications of Integrals l Probability l Probability densit
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00:06:46 Duration
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Lecture 123
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Applications of Integrals Biology l Cardiac output
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00:08:29 Duration
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Lecture 124
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Applications of Integrals l Biology l Cardiac output using simpson's rule
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00:07:51 Duration
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Lecture 125
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Applications of Integrals l Biology l Poiseuille's law
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00:02:26 Duration
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Lecture 126
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Applications of Integrals l Biology l Theorem of pappus
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00:12:24 Duration
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Lecture 127
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Polar l Parametric l Parametric curves l Eliminating the parameter
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00:07:07 Duration
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Lecture 128
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Polar l Parametric l Parametric curves l Derivative of a parametric curve
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00:02:59 Duration
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Lecture 129
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Polar l Parametric l Parametric curves l f parametric curve
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00:03:53 Duration
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Lecture 130
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Polar l Parametric l curves l Sketching parametric curves by plotting point
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00:05:47 Duration
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Lecture 131
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Polar l Parametric l parametric curves l Tangent line to the parametric curve
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00:06:56 Duration
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Lecture 132
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Polar l Parametric l parametric curves l Area under a parametric curve
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00:14:38 Duration
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Lecture 133
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Polar l Parametric l Area under one arc or loop of a parametric curve
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Lecture 134
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Polar l Parametric l parametric curves l Arc length of a parametric curve
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00:16:22 Duration
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Lecture 135
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Polar l Parametric l parametric curves l Arc length l particle motion
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00:15:46 Duration
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Lecture 136
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Polar l Parametric l parametric curves l Arc length l simpson's rule
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00:09:22 Duration
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Lecture 137
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Polar l Parametric l Surface area of revolution of a parametric curve
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00:08:06 Duration
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Lecture 138
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Polar l Parametric l Surface area of revolution of a parametric curve
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00:12:18 Duration
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Lecture 139
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Polar l Parametric l Volume of revolution of parametric curve
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00:08:42 Duration
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Lecture 140
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Polar l Parametric l Polar curves l Converting to polar coordinates
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00:04:36 Duration
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Lecture 141
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Polar l Parametric l Polar curves l Converting rectangular equation
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00:03:39 Duration
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Lecture 142
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Polar l Parametric l Polar curves l Converting polar equations
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00:02:57 Duration
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Lecture 143
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Polar l Parametric l Polar curves l Distance between polar points
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00:08:57 Duration
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Lecture 144
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Polar l Parametric l Polar curves l Sketching polar curves
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00:10:41 Duration
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Lecture 145
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Parametric l Polar curves l Sketching polar curves from cartesian curves
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00:06:11 Duration
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Lecture 146
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Parametric l Calculus with polar curves l Tangent line to the polar curve
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00:09:48 Duration
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Lecture 147
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Parametric l Vertical and horizontal tangent lines to the polar curve
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00:10:21 Duration
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Lecture 148
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Polar l Parametric l Calculus with polar curves
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00:12:57 Duration
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Lecture 149
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Polar l Parametric l Calculus with polar curves l Area inside polar curve
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00:06:07 Duration
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Lecture 150
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Polar l Parametric l Area bounded by one loop of polar curve
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00:12:26 Duration
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Lecture 151
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Polar l Parametric l Calculus with polar curve l Area between polar curve
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00:14:21 Duration
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Lecture 152
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Polar l Parametric l Calculus with polar curves
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00:12:35 Duration
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Lecture 153
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Polar l Parametric l Calculus with polar curve l Arc length of polar curve
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00:07:29 Duration
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Lecture 154
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Polar l Parametric l Arc length of a polar curve
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00:06:43 Duration
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Lecture 155
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Polar l Parametric l Surface area of revolution of polar curve
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00:07:13 Duration
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Lecture 156
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Sequences l Series l Listing first terms
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00:02:52 Duration
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Lecture 157
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Sequences l Series l Calculating the first terms
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00:03:36 Duration
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Lecture 158
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Sequences l Series l Formula for the general term
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00:06:27 Duration
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Lecture 159
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Sequence l Series l Convergence of sequence
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00:07:46 Duration
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Lecture 160
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Series l Limit of a convergent sequence
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00:05:03 Duration
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Lecture 161
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Series l Sequences l Increasing l decreasing l not monotonic
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00:11:33 Duration
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Lecture 162
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Sequences l Series l Bounded sequences
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00:12:12 Duration
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Lecture 163
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Sequence l Series l Calculating the first terms of sequence of partial sums
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00:05:01 Duration
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Lecture 164
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Sequences l Series l Partial sums l Sum of the sequence of partial sums
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00:04:42 Duration
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Lecture 165
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Sequences l Series l Geometric series
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00:11:39 Duration
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Lecture 166
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Sequences l Series l Geometric series
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00:10:15 Duration
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Lecture 167
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Sequences l Series l Geometric series l Values for which series converges
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00:05:52 Duration
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Lecture 168
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Sequences l Geometric series l Geometric series for repeating decimals
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00:08:38 Duration
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Lecture 169
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Sequences l Convergence of a telescoping series
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00:06:49 Duration
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Lecture 170
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Sequences l Telescoping series l Sum of telescoping series
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00:09:00 Duration
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Lecture 171
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Sequences l Basic convergence tests l Limit vs sum of the series
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00:05:05 Duration
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Lecture 172
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Sequences l Series l Basic convergence tests l Integral test
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00:11:15 Duration
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Lecture 173
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Sequences l Series l Basic convergence l p series test
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00:03:02 Duration
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Lecture 174
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Sequences l Series l Basic convergence tests l nth term test
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00:08:53 Duration
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Lecture 175
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Sequences & Series l Comparison tests
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00:10:33 Duration
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Lecture 176
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Sequences l Series l Limit comparison test
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00:05:55 Duration
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Lecture 177
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Sequences l Comparison tests l Error or remainder of series
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00:11:57 Duration
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Lecture 178
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Sequences l Ratio l root tests
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00:08:32 Duration
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Lecture 179
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Sequence l Series l Ratio test with factorial
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00:10:55 Duration
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Lecture 180
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Sequences l Series l Ratio l root tests
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00:04:30 Duration
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Lecture 181
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Series l Ratio l root test l Absolute l conditional convergence
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00:13:44 Duration
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Lecture 182
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Alternating series test
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00:13:37 Duration
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Lecture 183
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Sequences & Series l Alternating series estimation theorem
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00:13:06 Duration
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Lecture 184
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Sequences l Series l Power series representation
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00:19:55 Duration
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Lecture 185
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Sequences l Power series multiplication
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00:06:52 Duration
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Lecture 186
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Sequences l Series l Power series division
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00:05:14 Duration
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Lecture 187
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Sequences l Series l Power series differentiation
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00:16:32 Duration
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Lecture 188
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Sequences l Series l Power series l Radius of convergence
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00:09:30 Duration
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Lecture 189
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Sequences l Series l Power series l Interval of convergence
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00:16:36 Duration
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Lecture 190
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Sequences l Series l Power series l Estimating definite integrals
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00:11:16 Duration
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Lecture 191
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Power series l Estimating indefinite integral
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00:12:03 Duration
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Lecture 192
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Sequences l Series l Binomial series
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00:27:20 Duration
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Lecture 193
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Sequences l Series l Taylor series
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00:08:00 Duration
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Lecture 194
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Sequences l Series l Radius and interval of convergence of Taylor series
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00:20:44 Duration
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Lecture 195
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Sequences l Series l Taylor series l Taylor's inequality
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00:12:06 Duration
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Lecture 196
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Sequences l Series l Maclaurin series
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00:09:00 Duration
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Lecture 197
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Sequences l Series l Maclaurin series
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00:06:08 Duration
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Lecture 198
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Sequences l Series l Radius and interval of convergence of Maclaurin series
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00:09:34 Duration
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Lecture 199
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Maclaurin series l Indefinite integral as an infinite series
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00:08:01 Duration
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Lecture 200
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Maclaurin series to estimate an indefinite integral
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00:09:39 Duration
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Lecture 201
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Maclaurin series to estimate definite integral
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00:07:18 Duration
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Lecture 202
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Maclaurin series to evaluate a limit
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00:05:39 Duration
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