Question 1

Evaluate the integral. (Hint: you may need to use a reduction formula.)

Accepted Answer

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D)    
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D)

Question 2

Evaluate the integral.

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D)

Question 3

Evaluate the integral.

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D)

Question 4

Evaluate the integral.

Accepted Answer

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D)

Question 5

Use a table of integrals to find an antiderivative.

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D)    
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D)

Question 6

Evaluate the integral using integration by parts and substitution (as we recommended in the text, "Try something!").

Accepted Answer

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C)    
D)    
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D)

Question 7

Find the partial fraction decomposition.

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D)    
A)    
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D)

Question 8

Find the median (another measure of average) for a random variable with pdf   on   The median is the 50% mark on probability, that is, the value   such that

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Use a table of integrals to find an antiderivative.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Find the partial fraction decomposition.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Find an antiderivative.

Accepted Answer

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B)    
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D)

Question 12

Evaluate the integral. (Hint: you may need to use a reduction formula.)

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Evaluate the integral.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Use a table of integrals to find an antiderivative.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

In an AC circuit, the current has the form   for constants   The power is defined as   for a constant   . Find the average value of the power by integrating over the interval

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Determine whether the integral converges or diverges. Find the value of the integral if it converges.

Accepted Answer

A)  The integral diverges. 
B)  The integral evaluates to   . 
C)  The integral evaluates to   . 
D)  The integral evaluates to   . 
A)  The integral diverges. 
B)  The integral evaluates to   . 
C)  The integral evaluates to   . 
D)  The integral evaluates to   .

Question 17

Find the partial fraction decomposition.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Evaluate the integral.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Find an antiderivative.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Find the partial fraction decomposition.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Evaluate the integral. (Hint: you may need to use a reduction formula.)

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Use a table of integrals to find an antiderivative.

Evaluate the integral using integration by parts and substitution (as we recommended in the text, "Try something!").

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the median (another measure of average) for a random variable with pdf on The median is the 50% mark on probability, that is, the value such that

Use a table of integrals to find an antiderivative.

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find an antiderivative.

Evaluate the integral. (Hint: you may need to use a reduction formula.)

Evaluate the integral.

Use a table of integrals to find an antiderivative.

In an AC circuit, the current has the form for constants The power is defined as for a constant . Find the average value of the power by integrating over the interval

Determine whether the integral converges or diverges. Find the value of the integral if it converges.

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Evaluate the integral.

Find an antiderivative.

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Exam 7: Integration Techniques

Evaluate the integral. (Hint: you may need to use a reduction formula.)

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Use a table of integrals to find an antiderivative.

Evaluate the integral using integration by parts and substitution (as we recommended in the text, "Try something!").

Find the partial fraction decomposition.

Find the median (another measure of average) for a random variable with pdf on The median is the 50% mark on probability, that is, the value such that

Use a table of integrals to find an antiderivative.

Find the partial fraction decomposition.

Find an antiderivative.

Evaluate the integral. (Hint: you may need to use a reduction formula.)

Evaluate the integral.

Use a table of integrals to find an antiderivative.

In an AC circuit, the current has the form for constants The power is defined as for a constant . Find the average value of the power by integrating over the interval

Determine whether the integral converges or diverges. Find the value of the integral if it converges.

Find the partial fraction decomposition.

Evaluate the integral.

Find an antiderivative.

Find the partial fraction decomposition.

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the partial fraction decomposition. $Find the partial fraction decomposition.$