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, Avon High School SOLUTIONS - FORM A
AP Calculus AB
UNIT 6 EXAM – Integration and Accumulations of Change
Spring 2022 Period _____ Score ______ / 36 _______ / 100
Letter Grade _______
Part I. Multiple Choice: Graphing Calculator Permitted
Circle the correct answer for each problem.
Be sure to fill out the Multiple Choice Answer Page at the back of Part IV of the Exam.
1. The function f is continuous on the closed interval [2,8] and has values that are given in the table
8
below. Using the subintervals [2,5], [5,7], and [7,8], what is the Left Sum approximation of f ( x ) dx ?
2
(A) 110 (B) 150 AL (3)(20) + (2)(30) + (1)(40) x 2 5 7 8
60 + 60 + 40 f ( x) 20 30 40 10
(C) 160 (D) 190 160
x( x + 3) 4 dx , if you choose u = x 2 + 3 then the integral becomes
2
2. For
( u − 3) (u ) du ( u + 3)
4 1 4
(A) (B) du 1 d
2
f ( x) = x 2
1 + ( x ) dx
2 2
u du u du
4 1 4
(C) (D) 2 1
= 2x
1 + x4
u = x 2 + 3 du = 2 x dx
1 4
x( x + 3) 4 dx =
2
2
u du
8
3. Given F ( x) = f ( x)dx and f ( x) dx = 6 . If F (8) = −2 then F (6) =
6
(A) −4 (B) −8 8
(C) 8 (D) 4 f ( x) dx = 6 = F (8) − F (6)
6
6 = − 2 − F (6)
F (6) = −2 − 6 = −8
This study source was downloaded by 100000902974540 from CourseHero.com on 02-25-2026 20:22:31 GMT -06:00
https://www.coursehero.com/file/254169737/Chp-6-sol-1pdf/
Scholarfriends
https://scholarfriends.com
Downloaded by: | https://scholarfriends.com/singlePaper/618302/ap-calculus-ab-unit-6-exam-integration-and-
accumulations-of-change-solutions-form-a
Distribution of this document is illegal.
, Avon High School SOLUTIONS - FORM A
AP Calculus AB
UNIT 6 EXAM – Integration and Accumulations of Change
Spring 2022 Period _____ Score ______ / 36 _______ / 100
Letter Grade _______
Part I. Multiple Choice: Graphing Calculator Permitted
Circle the correct answer for each problem.
Be sure to fill out the Multiple Choice Answer Page at the back of Part IV of the Exam.
1. The function f is continuous on the closed interval [2,8] and has values that are given in the table
8
below. Using the subintervals [2,5], [5,7], and [7,8], what is the Left Sum approximation of f ( x ) dx ?
2
(A) 110 (B) 150 AL (3)(20) + (2)(30) + (1)(40) x 2 5 7 8
60 + 60 + 40 f ( x) 20 30 40 10
(C) 160 (D) 190 160
x( x + 3) 4 dx , if you choose u = x 2 + 3 then the integral becomes
2
2. For
( u − 3) (u ) du ( u + 3)
4 1 4
(A) (B) du 1 d
2
f ( x) = x 2
1 + ( x ) dx
2 2
u du u du
4 1 4
(C) (D) 2 1
= 2x
1 + x4
u = x 2 + 3 du = 2 x dx
1 4
x( x + 3) 4 dx =
2
2
u du
8
3. Given F ( x) = f ( x)dx and f ( x) dx = 6 . If F (8) = −2 then F (6) =
6
(A) −4 (B) −8 8
(C) 8 (D) 4 f ( x) dx = 6 = F (8) − F (6)
6
6 = − 2 − F (6)
F (6) = −2 − 6 = −8
This study source was downloaded by 100000902974540 from CourseHero.com on 02-25-2026 20:22:31 GMT -06:00
https://www.coursehero.com/file/254169737/Chp-6-sol-1pdf/
