Source: College Board — AP Calculus AB, Free-response questions, 2026
AP Calc AB · Integration
Unit 6: Integration and Accumulation of Change
25 questions from past AP exams, newest first.
Source: College Board — AP Calculus AB, Free-response questions, 2025
Source: College Board — AP Calculus AB, Free-response questions, 2024
Source: College Board — AP Calculus AB, Free-response questions, 2022
Source: College Board — AP Calculus AB, Free-response questions, 2021
Stuck on Unit 6: Integration and Accumulation of Change?
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Source: College Board — AP Calculus AB, Free-response questions, 2019
Source: College Board — AP Calculus AB, Free-response questions, 2018
Source: College Board — AP Calculus AB, Free-response questions, 2017
Source: College Board — AP Calculus AB, Free-response questions, 2016
Source: College Board — AP Calculus AB, Free-response questions, 2016
Stuck on Unit 6: Integration and Accumulation of Change?
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Source: College Board — AP Calculus AB, Free-response questions, 2014
Source: College Board — AP Calculus AB, Free-response questions, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Stuck on Unit 6: Integration and Accumulation of Change?
Our tutors clear up your doubts one to one — online, or in person with a local tutor.
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Full practice exam, 2012
Stuck on Unit 6: Integration and Accumulation of Change?
Our tutors clear up your doubts one to one — online, or in person with a local tutor.
![Question Section II · 3 — 3. Let f be the continuous function defined on [ ] 4, 3 - whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by ( ) ( ) 1 . x g x f t dt =…](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/ap-calculus-ab/2012-practice/item-II-3.41fab64e0b.webp)
Source: College Board — AP Calculus AB, Full practice exam, 2012
Source: College Board — AP Calculus AB, Free-response questions, 2011
Source: College Board — AP Calculus AB, Free-response, form B, 2011
![Question 6 — 6. Let g be the piecewise-linear function defined on [ ] 2 , 4 p p - whose graph is given above, and let ( ) ( ) ( ) cos . 2 x f x g x = - (a) Find ( ) 4 2 . f x dx p p -Ú Show the computations that lead to your answer.…](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/ap-calculus-ab/2011-formB/item-6.4866cb524d.webp)
Source: College Board — AP Calculus AB, Free-response, form B, 2011
![Question 5 — 5. The function g is defined and differentiable on the closed interval [ ] 7, 5 - and satisfies ( ) 0 5. g = The graph of ( ), y g x = ¢ the derivative of g, consists of a semicircle and three line segments, as shown in…](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/ap-calculus-ab/2010-frq/item-5.4dabae7e1d.webp)
Source: College Board — AP Calculus AB, Free-response questions, 2010
Stuck on Unit 6: Integration and Accumulation of Change?
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