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

Find

Accepted Answer

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

Question 3

Evaluate the integral.

Accepted Answer

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

Question 4

Find the partial fraction decomposition.

Accepted Answer

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

Question 5

Evaluate the integral.

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

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 8

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

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

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 12

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 13

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 0. 
D)  The integral evaluates to   . 
A)  The integral diverges. 
B)  The integral evaluates to   . 
C)  The integral evaluates to 0. 
D)  The integral evaluates to   .

Question 14

Find an antiderivative.

Accepted Answer

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

Question 15

Evaluate the integral.

Accepted Answer

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

Determine whether or not the integral is improper.

Find

Evaluate the integral.

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

Evaluate the integral.

Evaluate the integral.

Determine whether or not the integral is improper.

Evaluate the integral.

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

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

Evaluate the integral.

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

Find an antiderivative.

Evaluate the integral.

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

Determine whether or not the integral is improper.

Find

Evaluate the integral.

Find the partial fraction decomposition.

Evaluate the integral.

Evaluate the integral.

Determine whether or not the integral is improper.

Evaluate the integral.

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

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

Evaluate the integral.

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

Find an antiderivative.

Evaluate the integral.

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. $Find the partial fraction decomposition.$