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Deck 4: Section 5: Integration
Full screen (f)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the following indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the indefinite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the differential equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the differential equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function. 
A)
B)
C)
+ C
D)
E)
A)
B)
C)
+ CD)
E)
Question
Find the indefinite integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Evaluate the definite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation for the function 
whose derivative is 
and whose graph passes through the point 
.
A)
B)
C)
D)
E)
whose derivative is and whose graph passes through the point .A)
B)
C)
D)
E)
Question
The rate of disbursement 
of a 2 million dollar federal grant is proportional to the square of 
Time t is measured in days 
and 
is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 30 days. Assume that all the money will be disbursed in 100 days.
A) $686,000
B) $50,700
C) $101,400
D) $33,800
E) $1,029,000
of a 2 million dollar federal grant is proportional to the square of Time t is measured in days and is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 30 days. Assume that all the money will be disbursed in 100 days.A) $686,000
B) $50,700
C) $101,400
D) $33,800
E) $1,029,000
Question
Evaluate the following definite integral. 
Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Use a graphing utility to check your answer.A)
B)
C)
D)
E)
Question
Evaluate the following definite integral. 
Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Use a graphing utility to check your answer.A)
B)
C)
D)
E)
Question
Evaluate the definite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The rate of depreciation 
of a machine is inversely proportional to the square of 
where V is the value of the machine t years after it was purchased. The initial value of the machine was 
and its value decreased 
in the first year. Estimate its value after 6 years. Round your answer to the nearest integer.
A) $275,000
B) $475,000
C) $550,000
D) $350,000
E) $500,000
of a machine is inversely proportional to the square of where V is the value of the machine t years after it was purchased. The initial value of the machine was and its value decreased in the first year. Estimate its value after 6 years. Round your answer to the nearest integer.A) $275,000
B) $475,000
C) $550,000
D) $350,000
E) $500,000
Question
Suppose that the probability that a person will remember between 100a% and 100b% of material learned in an experiment is 
where x represents the proportion remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between 50% and 75% of the material? Express your answer as a percent rounded to three decimal places. 
A) 19.900%
B) 12.500%
C) 11.000%
D) 35.300%
E) 106.600%
where x represents the proportion remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between 50% and 75% of the material? Express your answer as a percent rounded to three decimal places. A) 19.900%
B) 12.500%
C) 11.000%
D) 35.300%
E) 106.600%
Question
The oscillating current in an electrical circuit is 
where I is measured in amperes and t is measured in seconds. Find the average current for the time interval 
. Round your answer to three decimal places.
A) 1.637 amps
B) 0.637 amps
C) 1.273 amps
D) 2.546 amps
E) 2.273 amps
where I is measured in amperes and t is measured in seconds. Find the average current for the time interval . Round your answer to three decimal places.A) 1.637 amps
B) 0.637 amps
C) 1.273 amps
D) 2.546 amps
E) 2.273 amps
Question
Find the area of the shaded region. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The sales S (in thousands of units) of a seasonal product are given by the model 
where t is the time in months, with 
corresponding to January. Find the average sales for the first quarter 
. Round your answer to three decimal places.
A) 90.916 thousand units
B) 92.084 thousand units
C) 101.436 thousand units
D) 129.632 thousand units
E) 72.486 thousand units
where t is the time in months, with corresponding to January. Find the average sales for the first quarter . Round your answer to three decimal places.A) 90.916 thousand units
B) 92.084 thousand units
C) 101.436 thousand units
D) 129.632 thousand units
E) 72.486 thousand units
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Deck 4: Section 5: Integration
1
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the indefinite integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Find the following indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Find the indefinite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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8
Find the indefinite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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9
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Find the indefinite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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11
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Find the indefinite integral of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Find the indefinite integral of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
Solve the differential equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Solve the differential equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Find the indefinite integral of the following function.
A)
B)
C) + C
D)
E)
A)
B)
C)
+ CD)
E)
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20
Find the indefinite integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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21
Evaluate the definite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Find an equation for the function whose derivative is and whose graph passes through the point .
A)
B)
C)
D)
E)
whose derivative is and whose graph passes through the point .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
23
The rate of disbursement of a 2 million dollar federal grant is proportional to the square of Time t is measured in days and is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 30 days. Assume that all the money will be disbursed in 100 days.
A) $686,000
B) $50,700
C) $101,400
D) $33,800
E) $1,029,000
of a 2 million dollar federal grant is proportional to the square of Time t is measured in days and is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 30 days. Assume that all the money will be disbursed in 100 days.A) $686,000
B) $50,700
C) $101,400
D) $33,800
E) $1,029,000
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
24
Evaluate the following definite integral. Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Use a graphing utility to check your answer.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
25
Evaluate the following definite integral. Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Use a graphing utility to check your answer.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
26
Evaluate the definite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
27
The rate of depreciation of a machine is inversely proportional to the square of where V is the value of the machine t years after it was purchased. The initial value of the machine was and its value decreased in the first year. Estimate its value after 6 years. Round your answer to the nearest integer.
A) $275,000
B) $475,000
C) $550,000
D) $350,000
E) $500,000
of a machine is inversely proportional to the square of where V is the value of the machine t years after it was purchased. The initial value of the machine was and its value decreased in the first year. Estimate its value after 6 years. Round your answer to the nearest integer.A) $275,000
B) $475,000
C) $550,000
D) $350,000
E) $500,000
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
28
Suppose that the probability that a person will remember between 100a% and 100b% of material learned in an experiment is where x represents the proportion remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between 50% and 75% of the material? Express your answer as a percent rounded to three decimal places.
A) 19.900%
B) 12.500%
C) 11.000%
D) 35.300%
E) 106.600%
where x represents the proportion remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between 50% and 75% of the material? Express your answer as a percent rounded to three decimal places. A) 19.900%
B) 12.500%
C) 11.000%
D) 35.300%
E) 106.600%
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
29
The oscillating current in an electrical circuit is where I is measured in amperes and t is measured in seconds. Find the average current for the time interval . Round your answer to three decimal places.
A) 1.637 amps
B) 0.637 amps
C) 1.273 amps
D) 2.546 amps
E) 2.273 amps
where I is measured in amperes and t is measured in seconds. Find the average current for the time interval . Round your answer to three decimal places.A) 1.637 amps
B) 0.637 amps
C) 1.273 amps
D) 2.546 amps
E) 2.273 amps
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
30
Find the area of the shaded region.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
31
The sales S (in thousands of units) of a seasonal product are given by the model where t is the time in months, with corresponding to January. Find the average sales for the first quarter . Round your answer to three decimal places.
A) 90.916 thousand units
B) 92.084 thousand units
C) 101.436 thousand units
D) 129.632 thousand units
E) 72.486 thousand units
where t is the time in months, with corresponding to January. Find the average sales for the first quarter . Round your answer to three decimal places.A) 90.916 thousand units
B) 92.084 thousand units
C) 101.436 thousand units
D) 129.632 thousand units
E) 72.486 thousand units
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 31 flashcards in this deck.
