Question 1

Evaluate the definite integral of a function   . Use a graphing utility to verify your results. ​

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

The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of   where x is the distance (in meters) that the cylinder is extended in its cycle. The domain of F is   and   . Find the average force exerted by the press over the interval   . Round your answer to the nearest whole number.

Accepted Answer

A)  276 newtons 
B)  138 newtons 
C)  675 newtons 
D)  225 newtons 
E)  827 newtons 
A)  276 newtons 
B)  138 newtons 
C)  675 newtons 
D)  225 newtons 
E)  827 newtons

Question 4

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

Evaluate the definite integral of a function . Use a graphing utility to verify your results.

Find the indefinite integral.

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

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Differential Equations

Applications of Integration

Integration Techniques and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Exam 5: Integration

Evaluate the definite integral of a function . Use a graphing utility to verify your results. ​

Find the indefinite integral. ​ ​

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