Question 1

Evaluate the integral.

Accepted Answer

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

Question 2

Evaluate the integral.

Accepted Answer

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

Question 3

Evaluate the integral.

Accepted Answer

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

Question 4

Evaluate the integral.

Accepted Answer

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

Question 5

You are given a pair of integrals below. Evaluate the integral that can be worked using the techniques covered so far (the other cannot).   and

Accepted Answer

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

Question 6

Use a table of integrals to find an antiderivative.

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

Evaluate the integral.

Accepted Answer

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

Question 9

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 10

Evaluate the integral.

Accepted Answer

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

Question 11

Use a table of integrals to find an antiderivative.

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

Find an antiderivative.

Accepted Answer

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

Question 14

Evaluate the integral.

Accepted Answer

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

Question 15

Use a comparison to determine whether the integral converges or diverges.

Accepted Answer

A)  The integral converges. 
B)  The integral diverges. 
A)  The integral converges. 
B)  The integral diverges.

Question 16

Evaluate the integral.

Accepted Answer

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

Question 17

Evaluate the integral.

Accepted Answer

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

Question 18

Evaluate the integral.

Accepted Answer

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

Question 19

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)

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

You are given a pair of integrals below. Evaluate the integral that can be worked using the techniques covered so far (the other cannot). and

Use a table of integrals to find an antiderivative.

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

Evaluate the integral.

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

Evaluate the integral.

Use a table of integrals to find an antiderivative.

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 .

Find an antiderivative.

Evaluate the integral.

Use a comparison to determine whether the integral converges or diverges.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

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

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.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

You are given a pair of integrals below. Evaluate the integral that can be worked using the techniques covered so far (the other cannot). and

Use a table of integrals to find an antiderivative.

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

Evaluate the integral.

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

Evaluate the integral.

Use a table of integrals to find an antiderivative.

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 .

Find an antiderivative.

Evaluate the integral.

Use a comparison to determine whether the integral converges or diverges.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

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

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