Question 1

Evaluate the   using L'Hôpital's Rule if necessary. ​

Accepted Answer

A)    
B)    
C)    
D)    
E) 0 
A)    
B)    
C)    
D)    
E) 0

Question 2

Use integration tables to find   . ​

Accepted Answer

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

Question 3

Evaluate the limit   ,using L'Hopital's Rule if necessary. ​

Accepted Answer

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

Question 4

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 5

Use a table of integrals with forms involving the trigonometric functions to find the integral.   ​

Accepted Answer

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

Question 6

Evaluate the limit   using L'Hopital's Rule if necessary. ​

Accepted Answer

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

Question 7

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 8

Evaluate the limit   using L'Hopital's Rule if necessary. ​

Accepted Answer

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

Question 9

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 10

Evaluate the limit   using L'Hopital's Rule if necessary.

Accepted Answer

A)    
B)    
C) ∞ 
D) ​- ∞ 
E) 625 
A)    
B)    
C) ∞ 
D) ​- ∞ 
E) 625

Question 11

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 12

Evaluate the limit   using L'Hopital's Rule if necessary. ​

Accepted Answer

A)    
B)    
C)    
D)    
E) 0 
A)    
B)    
C)    
D)    
E) 0

Question 13

Evaluate the integral   . ​

Accepted Answer

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

Question 14

​Knowing that   ,explain what is meant by the expression   .

Accepted Answer

​Since @#IMG-DLM& for @#IMG-DLM& and @#IMG-DLM& .If @#IMG-DLM& ,then this become

Question 15

Find the indefinite integral.

Accepted Answer

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

Question 16

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 17

Evaluate the limit   first by using techniques from Chapter 1 then by using L'Hopital's Rule. ​

Accepted Answer

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

Question 18

Evaluate the limit   using L'Hopital's Rule if necessary. ​

Accepted Answer

A)    
B)    
C)    
D) 0 
E)    
A)    
B)    
C)    
D) 0 
E)

Question 19

Use partial fractions to find the integral   . ​

Accepted Answer

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

Question 20

Evaluate the limit   first by using techniques from Chapter 3 then by using L'Hopital's Rule. ​

Accepted Answer

A)    
B)    
C)    
D) ∞ 
E) does not exist 
A)    
B)    
C)    
D) ∞ 
E) does not exist

Evaluate the using L'Hôpital's Rule if necessary.

Use integration tables to find .

Evaluate the limit ,using L'Hopital's Rule if necessary.

Find the indefinite integral.

Use a table of integrals with forms involving the trigonometric functions to find the integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Evaluate the integral .

Knowing that ,explain what is meant by the expression .

Find the indefinite integral.

Find the indefinite integral.

Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule.

Evaluate the limit using L'Hopital's Rule if necessary.

Use partial fractions to find the integral $Use partial fractions to find the integral . $ .

Evaluate the limit first by using techniques from Chapter 3 then by using L'Hopital's Rule.

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

Evaluate the using L'Hôpital's Rule if necessary. ​

Use integration tables to find . ​

Evaluate the limit ,using L'Hopital's Rule if necessary. ​

Find the indefinite integral. ​ ​

Use a table of integrals with forms involving the trigonometric functions to find the integral. ​

Evaluate the limit using L'Hopital's Rule if necessary. ​

Find the indefinite integral. ​ ​

Evaluate the limit using L'Hopital's Rule if necessary. ​

Find the indefinite integral. ​ ​

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral. ​ ​

Evaluate the limit using L'Hopital's Rule if necessary. ​

Evaluate the integral . ​

​Knowing that ,explain what is meant by the expression .

Find the indefinite integral.

Find the indefinite integral. ​ ​

Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule. ​

Evaluate the limit using L'Hopital's Rule if necessary. ​

Use partial fractions to find the integral . ​

Evaluate the limit first by using techniques from Chapter 3 then by using L'Hopital's Rule. ​

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

Evaluate the using L'Hôpital's Rule if necessary.

Use integration tables to find .

Evaluate the limit ,using L'Hopital's Rule if necessary.

Find the indefinite integral.

Use a table of integrals with forms involving the trigonometric functions to find the integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Find the indefinite integral.

Find the indefinite integral.

Evaluate the limit using L'Hopital's Rule if necessary.

Evaluate the integral .

Knowing that ,explain what is meant by the expression .

Find the indefinite integral.

Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule.

Evaluate the limit using L'Hopital's Rule if necessary.

Use partial fractions to find the integral $Use partial fractions to find the integral . $ .

Evaluate the limit first by using techniques from Chapter 3 then by using L'Hopital's Rule.