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Unit 8: Applications of Antiderivatives
Max-Min Inequality Rule for Definite Integrals
Identifier: Max-Min Inequality Rule for Definite Integrals
Method: Max-Min Inequality Rule for Definite Integrals
Example 1: Max-Min Inequality for Definite Integrals
Average Value
Average Value Examples from Actual AP Exams
Identifier: Average Value
Method: Average Value
Example 1: Average Value Integral
Mean Value Theorem for Definite Integrals
Extension of Mean Value Theorem for Definite Integrals
Identifier: Mean Value Theorem for Definite Integrals
Method: Mean Value Theorem for Definite Integrals
Example 1: Mean Value Theorem for Definite Integrals
Accumulation Tool
Integral as Accumulation Tool Examples from Actual AP Exams
Identifier: Integral as Accumulation Tool
Method: Integral as Accumulation Tool
Example 1: Integral as Accumulation Tool
Physics Relationships
Integral Physics Examples From Actual AP Exams
Identifier: Physics Relationship
Method: Physics Relationships
Example 1: Physics Relationship
Displacement vs. Distance Traveled
Displacement vs. Total Distance Examples from Actual AP Exams
Identifier: Distance vs. Displacement
Method: Distance vs. Displacement
Example 1: Distance vs. Displacement
Area Between Two Curves = Region Bounded by Two Curves
Area Between Two Curves Examples from Actual AP Exams
Identifier: Area Between Two Curves
Method: Area Between Two Curves
Example 1: Area Between Two Curves (No Calculator Allowed)
Example 2: Area Between Two Curves (Calculator Allowed)
Example 3: In Terms of y (No Calculator Allowed)
Volumes of Solids
Using Cross Sectional Areas
Cross Sectional Area Examples from Actual AP Exams
Identifier: Cross Sectional Areas
Method: Cross Sectional Areas
Example 1: Cross Sectional Areas
Disk Method
Disk Method Examples from Actual AP Exams
Identifier: Disk Method
Method: Disk Method
Example 1: About the x-axis
Example 2: About an axis other than the x-axis
Washer Method
Washer Method Examples from Actual AP Exams
Identifier: Washer Method
Method: Washer Method
Example 1: Washer Method About the x-axis
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Integral Physics Examples From Actual AP Exams

  1. Unit 8: Applications of Antiderivatives
  2. Physics Relationships
  3. Integral Physics Examples From Actual AP Exams

Do you want to see where integral physics problems appear on previous AP Calc exams and a video solution for those problems?
I have compiled a comprehensive list here so you don’t have to go looking all over the internet.

MCQ’s

  • 2008 AP Calculus AB MCQ Part A Q7
  • 2008 AP Calculus AB MCQ Part B Q87
  • 2012 AP Calculus AB MCQ Part A Q6
  • 2012 AP Calculus AB MCQ Part B Q83
  • 2012 AP Calculus AB MCQ Part B Q89
  • 2013 AP Calculus AB MCQ Part A Q10
  • 2013 AP Calculus AB MCQ Part B Q80
  • 2014 AP Calculus AB MCQ Part A Q14
  • 2014 AP Calculus AB MCQ Part B Q85
  • 2015 AP Calculus AB MCQ Part B Q80
  • 2016 AP Calculus AB MCQ Part A Q22
  • 2016 AP Calculus AB MCQ Part B Q89

FRQ’s

  • 2018 AP Calculus AB FRQ Part A Q2b
  • 2018 AP Calculus AB FRQ Part A Q2c
  • 2021 AP Calculus AB FRQ Part A Q2a
  • 2022 AP Calculus AB FRQ Part B Q6c
  • 2023 AP Calculus AB FRQ Part A Q2c
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