Question 1

Determine whether or not the integral is improper.

Accepted Answer

A)  The integral is improper. 
B)  The integral is not improper. 
A)  The integral is improper. 
B)  The integral is not improper.

Question 2

Evaluate the integral.

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

Use a table of integrals to find an antiderivative.

Accepted Answer

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

Question 5

Use a table of integrals to find an antiderivative.

Accepted Answer

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

Question 6

Evaluate the integral.

Accepted Answer

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

Question 7

Evaluate the integral.

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Evaluate the integral.

Accepted Answer

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

Question 10

Evaluate the integral.

Accepted Answer

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

Question 11

Evaluate the integral.

Accepted Answer

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

Question 12

A function   is a probability density function (pdf) on the interval   if   Find the value of the constant   to make the function   a pdf on the interval   .

Accepted Answer

A)    
B)  1 
C)    
D)    
A)    
B)  1 
C)    
D)

Question 13

Evaluate the integral.

Accepted Answer

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

Question 14

Find the indicated limit.

Accepted Answer

A)  0 
B)    
C)    
D)  does not exist 
A)  0 
B)    
C)    
D)  does not exist

Question 15

Evaluate the integral.

Accepted Answer

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

Question 16

Use a table of integrals to evaluate the definite integral.

Accepted Answer

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

Question 17

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 18

Find an antiderivative.

Accepted Answer

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

Question 19

Use a table of integrals to find an antiderivative.

Accepted Answer

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

Question 20

Use a table of integrals to find an antiderivative.

Accepted Answer

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

Determine whether or not the integral is improper.

Evaluate the integral.

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

Use a table of integrals to find an antiderivative.

Use a table of integrals to find an antiderivative.

Evaluate the integral.

Evaluate the integral.

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

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

A function is a probability density function (pdf) on the interval if Find the value of the constant to make the function a pdf on the interval .

Evaluate the integral.

Find the indicated limit.

Evaluate the integral.

Use a table of integrals to evaluate the definite integral.

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

Find an antiderivative.

Use a table of integrals to find an antiderivative.

Use a table of integrals to find an antiderivative.

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

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 8: Integration Techniques

Determine whether or not the integral is improper.

Evaluate the integral.

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

Use a table of integrals to find an antiderivative.

Use a table of integrals to find an antiderivative.

Evaluate the integral.

Evaluate the integral.

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

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

A function is a probability density function (pdf) on the interval if Find the value of the constant to make the function a pdf on the interval .

Evaluate the integral.

Find the indicated limit.

Evaluate the integral.

Use a table of integrals to evaluate the definite integral.

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

Find an antiderivative.

Use a table of integrals to find an antiderivative.

Use a table of integrals to find an antiderivative.

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

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