Deck 4: Section 7: Integration
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Deck 4: Section 7: 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 solution of the differential equation
which passes through the point
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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5
Use integration to find the particular solution of the differential equation
which passes through the point
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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6
Evaluate
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find
given
.
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.
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
Evaluate the definite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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11
Find the solution of the differential equation
which passes through the point
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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12
Find the indefinite integral. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Find
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Find
if
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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15
Evaluate the definite 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
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
Find
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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19
Find
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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20
Find the indefinite integral of
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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21
Suppose a population of bacteria is changing at a rate of
where t is the time in days. The initial population (when t = 0) is 500. Write an equation that gives the population at any time t.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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22
Find the area of the region bounded by the graphs of the equations
Round your answer to four decimal places.
A) 7.2189
B) 7.5835
C) 8.2189
D) 8.5835
E) 8.8283

A) 7.2189
B) 7.5835
C) 8.2189
D) 8.5835
E) 8.8283
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23
The rate of change in sales S is inversely proportional to time
measured in weeks. Find S as a function of t if sales after 2 and 4 weeks are 200 units and 350 units respectively.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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24
Find the time required for an object to cool from
by evaluating
, where t is time in minutes. Round your answer to four decimal places.
A) 6.4346 minutes
B) 4.4251 minutes
C) 3.6907 minutes
D) 4.0598 minutes
E) 5.8496 minutes


A) 6.4346 minutes
B) 4.4251 minutes
C) 3.6907 minutes
D) 4.0598 minutes
E) 5.8496 minutes
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25
Suppose the demand equation for a product is
Find the average price p on the interval
. Round your answer to the nearest dollar.
A) $67
B) $83
C) $57
D) $565
E) $52


A) $67
B) $83
C) $57
D) $565
E) $52
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26
Suppose a population of bacteria is changing at a rate of
where t is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when
days. Round your answer to the nearest integer.
A) 12,783
B) 11,525
C) 13,533
D) 10,772
E) 11,522


A) 12,783
B) 11,525
C) 13,533
D) 10,772
E) 11,522
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27
Find the area of the region given below bounded by the graph of
. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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