Question 1

Find the indefinite integral.

Accepted Answer

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

Question 2

Evaluate the Riemann sum for   with four subintervals, taking the sample points to be right endpoints.

Accepted Answer

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

Question 3

The marginal cost of manufacturing x yards of a certain fabric is   in dollars per yard. Find the increase in cost if the production level is raised from   yards to   yards.

Accepted Answer

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

Question 4

Find the area of the region under the graph of f on [a, b].

Accepted Answer

A) 3 
B) -12 
C) 12 
D) -3 
A) 3 
B) -12 
C) 12 
D) -3

Question 5

Use the following property of the definite integral to estimate the definite integral   : If   on [a, b], then

Accepted Answer

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

Question 6

A table of values of an increasing function   is shown. Use the table to find an upper estimate of   .       -49   -38   -23   2   13   31

Accepted Answer

The answer of A table of values of an increasing...

Question 7

Find the indefinite integral.

Accepted Answer

The answer of Find the indefinite integral.  ...

Question 8

Evaluate the integral.

Accepted Answer

A) -14 
B) -11 
C) 10 
D) 14 
A) -14 
B) -11 
C) 10 
D) 14

Question 9

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 10

Evaluate the limit after first finding the sum (as a function of n) using the summation formulas.

Accepted Answer

The answer of Evaluate the limit after first finding the...

Question 11

Evaluate the definite integral.

Accepted Answer

A) -2 
B) 3 
C) 0 
D) 1 
E) -0.5 
A) -2 
B) 3 
C) 0 
D) 1 
E) -0.5

Question 12

Evaluate the definite integral.

Accepted Answer

A) 3.25 
B)    
C)    
D) 0.35 
E)    
A) 3.25 
B)    
C)    
D) 0.35 
E)

Question 13

If   is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years   and   ?

Accepted Answer

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

Question 14

Find the indefinite integral.

Accepted Answer

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

Question 15

Find   by evaluating the integral using Part 2 of the Fundamental Theorem and then differentiating.

Accepted Answer

The answer of Find   by evaluating the integral...

Question 16

Approximate the area under the curve   from 1 to 2 using ten approximating rectangles of equal widths and right endpoints. Round the answer to the nearest hundredth.

Accepted Answer

The answer of Approximate the area under the curve ...

Question 17

If   where   find   .

Accepted Answer

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

Question 18

The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied.
Use a left sum with n = 7.

Accepted Answer

The answer of The velocity graph of a braking car...

Question 19

Find an expression for the area under the graph of f as a limit. Do not evaluate the limit.   ,

Accepted Answer

The answer of Find an expression for the area under...

Question 20

Use   to evaluate the integral.

Accepted Answer

A)    
B) 22 
C) 54 
D)    
A)    
B) 22 
C) 54 
D)

Find the indefinite integral.

Evaluate the Riemann sum for with four subintervals, taking the sample points to be right endpoints.

The marginal cost of manufacturing x yards of a certain fabric is in dollars per yard. Find the increase in cost if the production level is raised from yards to yards.

Find the area of the region under the graph of f on [a, b].

Use the following property of the definite integral to estimate the definite integral : If on [a, b], then

A table of values of an increasing function is shown. Use the table to find an upper estimate of . -49 -38 -23 2 13 31

Find the indefinite integral.

Evaluate the integral.

Find the derivative of the function.

Evaluate the limit after first finding the sum (as a function of n) using the summation formulas.

Evaluate the definite integral.

Evaluate the definite integral.

If is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years and ?

Find the indefinite integral.

Find by evaluating the integral using Part 2 of the Fundamental Theorem and then differentiating.

Approximate the area under the curve from 1 to 2 using ten approximating rectangles of equal widths and right endpoints. Round the answer to the nearest hundredth.

If where find .

The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied. Use a left sum with n = 7.

Find an expression for the area under the graph of f as a limit. Do not evaluate the limit. ,

Use to evaluate the integral.

Functions and Limits

Derivatives

Applications of Differentiation

Applications of Integration

Inverse Functions

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

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Exam 4: Integrals

Find the indefinite integral.

Evaluate the Riemann sum for with four subintervals, taking the sample points to be right endpoints.

The marginal cost of manufacturing x yards of a certain fabric is in dollars per yard. Find the increase in cost if the production level is raised from yards to yards.

Find the area of the region under the graph of f on [a, b].

Use the following property of the definite integral to estimate the definite integral : If on [a, b], then

A table of values of an increasing function is shown. Use the table to find an upper estimate of . -49 -38 -23 2 13 31

Find the indefinite integral.

Evaluate the integral.

Find the derivative of the function.

Evaluate the limit after first finding the sum (as a function of n) using the summation formulas.

Evaluate the definite integral.

Evaluate the definite integral.

If is a child's rate of growth in pounds per year, which of the following expressions represents the increase in the child's weight (in pounds) between the years and ?

Find the indefinite integral.

Find by evaluating the integral using Part 2 of the Fundamental Theorem and then differentiating.

Approximate the area under the curve from 1 to 2 using ten approximating rectangles of equal widths and right endpoints. Round the answer to the nearest hundredth.

If where find .

The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied. Use a left sum with n = 7.

Find an expression for the area under the graph of f as a limit. Do not evaluate the limit. ,

Use to evaluate the integral.

Functions and Limits

Derivatives

Applications of Differentiation

Applications of Integration

Inverse Functions

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Final Exam

Filters