Deck 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals

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Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Solve <strong>Solve  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Evaluate <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Round your answer to three decimal places.

A) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find <strong>Find  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the definite integral. <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by <strong>Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by   Find the average value of y on the interval from   to   Round your answer to three decimal places.</strong> A)0.406 B)0.131 C)0.122 D)0.129 E)0.382 <div style=padding-top: 35px> Find the average value of y on the interval from <strong>Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by   Find the average value of y on the interval from   to   Round your answer to three decimal places.</strong> A)0.406 B)0.131 C)0.122 D)0.129 E)0.382 <div style=padding-top: 35px> to <strong>Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by   Find the average value of y on the interval from   to   Round your answer to three decimal places.</strong> A)0.406 B)0.131 C)0.122 D)0.129 E)0.382 <div style=padding-top: 35px> Round your answer to three decimal places.

A)0.406
B)0.131
C)0.122
D)0.129
E)0.382
Question
Suppose a model for the ability M of a child to memorize, measured on a scale from <strong>Suppose a model for the ability M of a child to memorize, measured on a scale from   to   , is given by   where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal Places.</strong> A)1.891 B)0.920 C)1.541 D)3.991 E)3.026 <div style=padding-top: 35px> to <strong>Suppose a model for the ability M of a child to memorize, measured on a scale from   to   , is given by   where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal Places.</strong> A)1.891 B)0.920 C)1.541 D)3.991 E)3.026 <div style=padding-top: 35px> , is given by <strong>Suppose a model for the ability M of a child to memorize, measured on a scale from   to   , is given by   where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal Places.</strong> A)1.891 B)0.920 C)1.541 D)3.991 E)3.026 <div style=padding-top: 35px> where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal
Places.

A)1.891
B)0.920
C)1.541
D)3.991
E)3.026
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Deck 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals
1
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
2
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
3
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
4
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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5
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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6
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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7
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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8
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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9
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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10
Solve <strong>Solve  </strong> A)   B)   C)   D)   E)

A) <strong>Solve  </strong> A)   B)   C)   D)   E)
B) <strong>Solve  </strong> A)   B)   C)   D)   E)
C) <strong>Solve  </strong> A)   B)   C)   D)   E)
D) <strong>Solve  </strong> A)   B)   C)   D)   E)
E) <strong>Solve  </strong> A)   B)   C)   D)   E)
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11
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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12
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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13
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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14
Find the indefinite integral <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral  </strong> A)   B)   C)   D)   E)
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15
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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16
Evaluate <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)   Round your answer to three decimal places.

A) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate   Round your answer to three decimal places.</strong> A)   B)   C)   D)   E)
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17
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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18
Find <strong>Find  </strong> A)   B)   C)   D)   E)

A) <strong>Find  </strong> A)   B)   C)   D)   E)
B) <strong>Find  </strong> A)   B)   C)   D)   E)
C) <strong>Find  </strong> A)   B)   C)   D)   E)
D) <strong>Find  </strong> A)   B)   C)   D)   E)
E) <strong>Find  </strong> A)   B)   C)   D)   E)
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19
Find the definite integral. <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the definite integral.  </strong> A)   B)   C)   D)   E)
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20
Find the indefinite integral. <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the indefinite integral.  </strong> A)   B)   C)   D)   E)
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21
Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by <strong>Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by   Find the average value of y on the interval from   to   Round your answer to three decimal places.</strong> A)0.406 B)0.131 C)0.122 D)0.129 E)0.382 Find the average value of y on the interval from <strong>Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by   Find the average value of y on the interval from   to   Round your answer to three decimal places.</strong> A)0.406 B)0.131 C)0.122 D)0.129 E)0.382 to <strong>Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by   Find the average value of y on the interval from   to   Round your answer to three decimal places.</strong> A)0.406 B)0.131 C)0.122 D)0.129 E)0.382 Round your answer to three decimal places.

A)0.406
B)0.131
C)0.122
D)0.129
E)0.382
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22
Suppose a model for the ability M of a child to memorize, measured on a scale from <strong>Suppose a model for the ability M of a child to memorize, measured on a scale from   to   , is given by   where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal Places.</strong> A)1.891 B)0.920 C)1.541 D)3.991 E)3.026 to <strong>Suppose a model for the ability M of a child to memorize, measured on a scale from   to   , is given by   where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal Places.</strong> A)1.891 B)0.920 C)1.541 D)3.991 E)3.026 , is given by <strong>Suppose a model for the ability M of a child to memorize, measured on a scale from   to   , is given by   where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal Places.</strong> A)1.891 B)0.920 C)1.541 D)3.991 E)3.026 where t is the child's age in years.Find the average value of this model between the child's first and second birthdays.Round your answer to three decimal
Places.

A)1.891
B)0.920
C)1.541
D)3.991
E)3.026
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