Question 1

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 2

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 3

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 4

Write the form of the partial fraction decomposition for the following rational expression. ​   ​

Accepted Answer

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

Question 5

Find the definite integral. ​   ​

Accepted Answer

A) 81 
B) 72 
C) 9 
D) 153 
E) 8 
A) 81 
B) 72 
C) 9 
D) 153 
E) 8

Question 6

Find the integral using integration by parts. ​   ​

Accepted Answer

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

Question 7

Find the definite integral. ​   ​

Accepted Answer

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

Question 8

Find the indefinite integral   . ​

Accepted Answer

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

Question 9

Use integration tables to evaluate the integral   . ​

Accepted Answer

A)    ​ 
B)    ​ 
C)    ​ 
D)    ​ 
E)    ​ 
A)    ​ 
B)    ​ 
C)    ​ 
D)    ​ 
E)    ​

Question 10

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 11

​Let   be the region bounded by the graphs of the function   ,the   -axis,and the lines   and   ,where   .An expression for the volume of the solid generated by revolving   about the   -axis is ​

Accepted Answer

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

Question 12

Find   . ​

Accepted Answer

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

Question 13

Solve. ​   ​

Accepted Answer

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

Question 14

Determine whether the improper integral   diverges or converges.Evaluate the integral if it converges. ​

Accepted Answer

A)    
B)    
C)    
D)    
E) diverges 
A)    
B)    
C)    
D)    
E) diverges

Question 15

Determine whether the improper integral   diverges or converges. ​

Accepted Answer

A)    
B)    
A)    
B)

Question 16

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 17

Use partial fractions to find   . ​

Accepted Answer

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

Question 18

Find the indefinite integral   . ​

Accepted Answer

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

Question 19

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 20

Write the form of the partial fraction decomposition for the following rational expression. ​   ​

Accepted Answer

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

Find the indefinite integral.

Find the indefinite integral.

Find the indefinite integral.

Write the form of the partial fraction decomposition for the following rational expression. $Write the form of the partial fraction decomposition for the following rational expression. $

Find the definite integral.

Find the integral using integration by parts.

Find the definite integral.

Find the indefinite integral .

Use integration tables to evaluate the integral .

Find the indefinite integral.

Let be the region bounded by the graphs of the function ,the -axis,and the lines and ,where .An expression for the volume of the solid generated by revolving about the -axis is

Find .

Solve.

Determine whether the improper integral diverges or converges.Evaluate the integral if it converges.

Determine whether the improper integral diverges or converges.

Find the indefinite integral.

Use partial fractions to find $Use partial fractions to find . $ .

Find the indefinite integral .

Find the indefinite integral.

Write the form of the partial fraction decomposition for the following rational expression. $Write the form of the partial fraction decomposition for the following rational expression. $

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 8: Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Find the indefinite integral. ​ ​

Find the indefinite integral. ​ ​

Find the indefinite integral. ​ ​

Write the form of the partial fraction decomposition for the following rational expression. ​ ​

Find the definite integral. ​ ​

Find the integral using integration by parts. ​ ​

Find the definite integral. ​ ​

Find the indefinite integral . ​

Use integration tables to evaluate the integral . ​

Find the indefinite integral. ​ ​

​Let be the region bounded by the graphs of the function ,the -axis,and the lines and ,where .An expression for the volume of the solid generated by revolving about the -axis is ​

Find . ​

Solve. ​ ​

Determine whether the improper integral diverges or converges.Evaluate the integral if it converges. ​

Determine whether the improper integral diverges or converges. ​

Find the indefinite integral. ​ ​

Use partial fractions to find . ​

Find the indefinite integral . ​

Find the indefinite integral. ​ ​

Write the form of the partial fraction decomposition for the following rational expression. ​ ​

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Find the indefinite integral.

Find the indefinite integral.

Find the indefinite integral.

Write the form of the partial fraction decomposition for the following rational expression. $Write the form of the partial fraction decomposition for the following rational expression. $

Find the definite integral.

Find the integral using integration by parts.

Find the definite integral.

Find the indefinite integral .

Use integration tables to evaluate the integral .

Find the indefinite integral.

Let be the region bounded by the graphs of the function ,the -axis,and the lines and ,where .An expression for the volume of the solid generated by revolving about the -axis is

Find .

Solve.

Determine whether the improper integral diverges or converges.Evaluate the integral if it converges.

Determine whether the improper integral diverges or converges.

Find the indefinite integral.

Use partial fractions to find $Use partial fractions to find . $ .

Find the indefinite integral .

Find the indefinite integral.

Write the form of the partial fraction decomposition for the following rational expression. $Write the form of the partial fraction decomposition for the following rational expression. $