ap calculus ab - integration & ftc review
originally streamed in 2019 with Jamil SiddiquiTeacherReview integration techniques and the Fundamental Theorem of Calculus for AP Calculus AB. This session walks through u-substitution, integral properties, and a complete FTC free-response question with detailed explanations to help you prepare for the ...more
covered in this stream
units
topics
6.9 Integrating Using 1 Substitution6.6 Applying Properties of 3 Definite Integrals6.4 The Fundamental Theorem of Calculus and Accumulation Functions6.5 Interpreting the Behavior of Accumulation Functions Involving Area6.7 The Fundamental Theorem of Calculus and Definite Integrals5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points5.4 Using the First Derivative Test to Determine Relative (Local) Extrema5.5 Using the Candidates Test to Determine Absolute (Global) Extrema5.6 Determining Concavity5.9 Connecting a Function, Its First Derivative, and its Second Derivative 4.6 Approximating Values of a Function Using Local Linearity and Linearization3.1 The Chain Rule
timestamps
- 0:00
Integration by Substitution
- 0:37
Substitution Example Setup
- 1:09
Bounds and DU Calculation
- 1:40
U-World Transition
- 2:10
Handling X and DX
- 3:14
Isolating X DX
- 3:45
Substituting Bounds
- 4:46
Lower Bound Calculation
- 5:19
Selecting Answer D
- 5:49
Properties of Integrals
- 6:50
Combining Integrals
- 7:53
G Minus F Integral
- 8:57
Reversing Integrand
- 10:00
Breaking Up Integrals
- 11:03
Final Integral Value
- 13:42
Integral Properties Example
- 19:08
Session Outline
- 19:39
FTC Super FRQ
- 20:41
Graph Geometry
- 21:43
FTC Derivative
- 23:16
Part A Calculations
- 26:53
F Prime at 14
- 28:28
Part B Critical Points
- 31:38
Part C Inflection Points
- 34:46
Increasing and Concave Down
- 37:59
Absolute Maximum
- 41:05
Labeling Areas
- 44:17
Computing F Values
- 48:57
H Prime Calculation
- 50:30
Tangent Line to H
- 54:42
Approximation Analysis
- 56:47
H Double Prime
- 59:25
FTC Conclusion
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