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Deck 4: Section 3: Integration
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Question
Evaluate the integral. 
given, 
A) -180
B) 16
C) -10169
D) -11522
E) -179
given, A) -180
B) 16
C) -10169
D) -11522
E) -179
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the following definite integral by the limit definition. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral. 
given, 
A) -65
B) -2377
C) -66
D) -2024
E) -2025
given, A) -65
B) -2377
C) -66
D) -2024
E) -2025
Question
The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral 
using geometric formulas. 
A) 4
B) 3
C) 1
D) 2
E) 5
using geometric formulas. A) 4
B) 3
C) 1
D) 2
E) 5
Question
Write the limit 
, as a definite integral on the interval 
, where ci is any point in the 
subinterval.
A)
B)
C)
D)
E)
, as a definite integral on the interval , where ci is any point in the subinterval.A)
B)
C)
D)
E)
Question
Write the following limit as a definite integral on the interval 
where ci is any point in the 
subinterval. 
A)
B)
C)
D)
E)
where ci is any point in the subinterval. A)
B)
C)
D)
E)
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A) -158
B) 12
C) 80
D) 82
E) -160
A) -158
B) 12
C) 80
D) 82
E) -160
Question
Evaluate the integral. 
given, 
A) 84
B) 1074
C) 8
D) 1346
E) 295
given, A) 84
B) 1074
C) 8
D) 1346
E) 295
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A) 30
B) 15
C) 4
D) 34
E) -17
A) 30
B) 15
C) 4
D) 34
E) -17
Question
The graph of the function 
is given below. Which of the following definite integrals yields the area of the shaded region? 
A)
B)
C)
D)
E)
is given below. Which of the following definite integrals yields the area of the shaded region? A)
B)
C)
D)
E)
Question
Write the limit 
, as a definite integral on the interval 
where 
is any point in the 
subinterval.
A)
B)
C)
D)
E)
, as a definite integral on the interval where is any point in the subinterval.A)
B)
C)
D)
E)
Question
The graph of the function 
is given below. Which of the following definite integrals yields the area of the shaded region? 
A)
B)
C)
D)
E)
is given below. Which of the following definite integrals yields the area of the shaded region? A)
B)
C)
D)
E)
Question
Evaluate the following definite integral by the limit definition. 
A) 4375
B)
C) 4372
D) 1125
E)
A) 4375
B)
C) 4372
D) 1125
E)
Question
Write the following limit as a definite integral on the interval [2 , 5], where ci is any point in the ith subinterval. ![<strong>Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. </strong> A) B) C) D) E) <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB4584/11eaa595_6575_0832_a696_afa1498da126_TB4584_11_TB4584_11.jpg)
A)![<strong>Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. </strong> A) B) C) D) E) <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB4584/11eaa595_6575_2f43_a696_7d345eb6c914_TB4584_11_TB4584_11.jpg)
B)![<strong>Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. </strong> A) B) C) D) E) <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB4584/11eaa595_6575_2f44_a696_37f4174337cb_TB4584_11_TB4584_11.jpg)
C)![<strong>Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. </strong> A) B) C) D) E) <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB4584/11eaa595_6575_5655_a696_5337c612e892_TB4584_11_TB4584_11.jpg)
D)![<strong>Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. </strong> A) B) C) D) E) <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB4584/11eaa595_6575_7d66_a696_3d2ddfda1d2d_TB4584_11_TB4584_11.jpg)
E)![<strong>Write the following limit as a definite integral on the interval [2 , 5], where c<sub>i </sub>is any point in the ith subinterval. </strong> A) B) C) D) E) <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB4584/11eaa595_6575_7d67_a696_6746b70a9c37_TB4584_11_TB4584_11.jpg)
A)
B)
C)
D)
E)
Question
Evaluate the following definite integral by the limit definition. 
A) -216
B) 240
C) -240
D) 192
E) 216
A) -216
B) 240
C) -240
D) 192
E) 216
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A) -1
B) 1
C) 2
D) 4
E) 15
A) -1
B) 1
C) 2
D) 4
E) 15
Question
Evaluate the integral. 
given, 
A) -156
B) 156
C) 1,016
D) 24
E) 6,630
given, A) -156
B) 156
C) 1,016
D) 24
E) 6,630
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Deck 4: Section 3: Integration
1
Evaluate the integral. given,
A) -180
B) 16
C) -10169
D) -11522
E) -179
given, A) -180
B) 16
C) -10169
D) -11522
E) -179
-179
2
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Evaluate the following definite integral by the limit definition.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Evaluate the integral. given,
A) -65
B) -2377
C) -66
D) -2024
E) -2025
given, A) -65
B) -2377
C) -66
D) -2024
E) -2025
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5
The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral using geometric formulas.
A) 4
B) 3
C) 1
D) 2
E) 5
using geometric formulas. A) 4
B) 3
C) 1
D) 2
E) 5
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
6
Write the limit , as a definite integral on the interval , where ci is any point in the subinterval.
A)
B)
C)
D)
E)
, as a definite integral on the interval , where ci is any point in the subinterval.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
7
Write the following limit as a definite integral on the interval where ci is any point in the subinterval.
A)
B)
C)
D)
E)
where ci is any point in the subinterval. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
8
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A) -158
B) 12
C) 80
D) 82
E) -160
A) -158
B) 12
C) 80
D) 82
E) -160
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
9
Evaluate the integral. given,
A) 84
B) 1074
C) 8
D) 1346
E) 295
given, A) 84
B) 1074
C) 8
D) 1346
E) 295
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
10
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
11
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A) 30
B) 15
C) 4
D) 34
E) -17
A) 30
B) 15
C) 4
D) 34
E) -17
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
12
The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region?
A)
B)
C)
D)
E)
is given below. Which of the following definite integrals yields the area of the shaded region? A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
13
Write the limit , as a definite integral on the interval where is any point in the subinterval.
A)
B)
C)
D)
E)
, as a definite integral on the interval where is any point in the subinterval.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
14
The graph of the function is given below. Which of the following definite integrals yields the area of the shaded region?
A)
B)
C)
D)
E)
is given below. Which of the following definite integrals yields the area of the shaded region? A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
15
Evaluate the following definite integral by the limit definition.
A) 4375
B)
C) 4372
D) 1125
E)
A) 4375
B)
C) 4372
D) 1125
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
16
Write the following limit as a definite integral on the interval [2 , 5], where ci is any point in the ith subinterval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
17
Evaluate the following definite integral by the limit definition.
A) -216
B) 240
C) -240
D) 192
E) 216
A) -216
B) 240
C) -240
D) 192
E) 216
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
18
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A) -1
B) 1
C) 2
D) 4
E) 15
A) -1
B) 1
C) 2
D) 4
E) 15
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19
Evaluate the integral. given,
A) -156
B) 156
C) 1,016
D) 24
E) 6,630
given, A) -156
B) 156
C) 1,016
D) 24
E) 6,630
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
