3.400 The Integral | Infinity Learning Center

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Cruising Thru Calculus

Introduction

Course Overview (2:34)

Limits

1.10 Limits - Concepts and definition of limits and finding limits with graphs (17:59)
1.20 Right limits vs Left limits and DNE (20:47)
1.21 Another kind of DNE (Optional topic) (3:35)
1.25 Limit of Composite of Functions (Optional Topic) (14:59)
1.30 Algebraic Limits (7:02)
1.31 Algebraic Limits - Factoring (18:45)
1.32 Algebraic Limits - Conjugates (16:56)
1.33 Algebraic Limits - Complex Fractions (20:35)
1.40 Limits with infinity or -infinity as answers with graphs (12:36)
1.41 Limits with +inf or -inf algebra (22:39)
1.50 Limits at infinity Graph (12:09)
Checkup 1 (Limits with a graph) (5:09)
1.51 Limits at infinity algebraic 1 (11:33)
1.52 Limits at infinity algebraic 2 (7:56)
1.53 Limits at infinity algebraic 3 (16:52)
1.54 Limits at infinity algebraic 4 (19:14)
1.55 Limits at infinity algebraic 5 (10:21)
1.60 Limits with piecewise functions (25:26)
1.70 A Special Limit with Absolute Value (11:38)
1.71 More Special Limits with Absolute Value (28:33)
Checkup 2 (Limits Algebraically of all types) (37:43)
1.80 Limits with Trig Functions (31:49)
1.81 The Squeeze Theorem (Optional Lesson) (21:58)
1.90 Properties of Limits (19:27)
1.100 Informal continuity and their types (12:14)
1.101 Formal continuity (25:23)
1.110 Intermediate Value Theorem (35:21)
1.120 Average Rate of Change (19:10)
1.121 Secant Line and its slope (16:13)
1.300 Informal Tangent Line (14:16)
1.301 The Tangent Line Problem and its solution (37:23)
1.302 A different tangent line equation (24:18)
1.400 Limit definition of derivative (19:43)
Checkup 3 (Tangent lines with difference Quotients) (24:56)
Limit Test Review (49:57)
Limit Flow Chart (40:45)
Limit Test

Derivatives

2.10 Finding the slope of the tangent line more quickly (14:32)
2.20 Derivative Rule: Power Rule (24:20)
2.30 Derivative of Sine/Cosine (11:20)
2.40 Product Rule (22:17)
2.50 Quotient Rule (23:14)
2.60 Derivatives of the other trig functions (14:08)
2.70 Chain Rule (15:16)
2.71 Multiple Chain Rules and Trig Functions (24:41)
Checkup 4 (Chain Rule + all other rules) (30:51)
2.80 Derivative of Absolute Value (Optional Topic) (13:40)
2.81 Estimates Derivatives with Tables (Optional Topic) (8:03)
2.90 Higher Order Derivatives (8:58)
2.91 Tangent Line Vs Normal Line (Optional Topic) (14:48)
2.100 Real World Problems Part 1 (31:26)
2.101 Real World Problems Part 2 (22:40)
2.102 Real World Problems Part 3 (24:26)
Checkup 5 (Real World Problems) (17:34)
2.200 Implicit Differentiation (39:15)
2.210 Related Rates (61:27)
Checkup 6 (Related Rates) (23:35)
2.310 Where Derivatives Don’t Exist (19:01)
2.320 Increasing and Decreasing (23:21)
2.330 First Derivative Test (35:58)
2.340 Absolute maximums and minimums (21:28)
2.350 Concavity and Points of Inflection (30:16)
2.360 Second Derivative Test (35:16)
Checkup 7 (Tests with Derivatives) (27:21)
2.400 Graphing Derivatives (26:27)
2.500 Rolles and Mean Value Theorem (29:04)
2.600 Optimization Problems (32:47)
2.650 Linearization (Optional Topic) (22:04)
2.660 Newton’s Method (Optional Topic) (33:19)
Checkup 8 (Optimization Problems) (29:53)
2.700 Derivatives of logarithms (18:39)
2.710 Logarithmic differentiation (19:19)
2.720 Derivatives of exponentials (13:36)
2.730 Derivatives of Inverse Trig Functions (11:19)
2.740 Derivatives of Inverse Functions (16:29)
2.800 L’Hopital’s Rule (25:41)
Derivative Test Review (66:59)
Derivative Test

Integrals

3.000 Opposite of the derivative - AntiDerivative (22:57)
3.010 Antiderivative of trig functions (9:05)
3.020 Antiderivatives of Natural Log and Natural Exponential (7:10)
3.030 Antiderivatives of Exponentials with other bases (Optional Topic) (4:28)
3.100 General Solutions vs Particular Solutions (11:39)
3.200 Sigma Notation Introduction (15:43)
3.210 Sigma Notation Properties and Formulas (16:39)
3.300 Area under curves - Riemann Sum part 1 (Right Riemann Sum) (33:52)
3.310 Area under curves - Riemann Sum part 2 (Left Riemann Sum) (17:04)
3.320 Area under curves - Riemann Sum part 3 (Midpoint Sum) (15:42)
3.330 Area under curves - Riemann Sum part 4 (Trapezoid Sum) (21:29)
Checkup 9 (Estimating Areas) (19:38)
3.340 Area under curves - Riemann Sum part 5 (Exact Area) (37:16)
3.400 The Integral (17:03)
3.410 Integrals with Absolute Values (17:37)
3.500 Fundamental Theorem of Calculus 1 (16:33)
3.510 Fundamental Theorem of Calculus 2 (24:34)
3.600 Integrating Even vs Odd Functions (Optional Topic) (18:33)
3.700 Average Value (17:06)
3.800 U-Substitution part 1 (18:08)
3.810 U-Substitution part 2 (25:09)
3.820 U-Substitution part 3 (24:44)
3.900 Antiderivatives of inverse trig functions (27:23)
Checkup 10 (Evaluating tricky integrals) (16:08)
3.1000 Area between two curves part 1 (23:37)
3.1100 Area between two curves part 2 (19:33)
3.2000 Volumes by slicing (38:22)
3.2100 Volumes by Disk Method (38:37)
3.2200 Volumes by Washer Method (34:05)
3.2300 Volumes by Shell Method (Optional Method) (37:46)
Checkup 11 (Volumes) (39:33)
Integral Test Review (72:51)
Integral Test

AP-Like Calculus Questions

AP Practice Problems
AP-like Questions Set 1 (59:10)
AP-like Questions Set 2 (59:28)
AP-like Questions Set 3 (44:33)

Review

Factoring (11:09)
Conjugates (2:28)
Complex Fractions (3:12)
Square Root of x squared (8:14)
End Behavior (9:14)
Unit Circle (6:51)
Limit Tree Diagram
Even Vs Odd Functions (4:46)
Logarithms (3:45)
Derivations

Conclusion

Reflecting on Your Calculus Journey
Acknowledgements

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3.400 The Integral

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