Question 1

Evaluate the indefinite integral.

Accepted Answer

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

Question 2

A table of values of an increasing function   is shown. Use the table to find an upper estimate of   .       -45   -37   -27   9   10   23

Accepted Answer

-110

Question 3

Evaluate the definite integral.

Accepted Answer

0

Question 4

The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval.

Accepted Answer

A) 68 m 
B) 100 m 
C) 64 m 
D) 36 m 
E) 72 m 
A) 68 m 
B) 100 m 
C) 64 m 
D) 36 m 
E) 72 m

Question 5

The velocity graph of a car accelerating from rest to a speed of 7 km/h over a period of 10 seconds is shown. Estimate to the nearest integer the distance traveled during this period. Use a right sum with   .

Accepted Answer

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

Question 6

Evaluate by interpreting it in terms of areas.

Accepted Answer

The answer of Evaluate by interpreting it in terms of...

Question 7

The area of the region that lies to the right of the y-axis and to the left of the parabola   (the shaded region in the figure) is given by the integral   .Find the area..

Accepted Answer

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

Question 8

Evaluate   by interpreting it in terms of areas.

Accepted Answer

The answer of Evaluate   by interpreting it in...

Question 9

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 10

Evaluate by interpreting it in terms of areas.

Accepted Answer

The answer of Evaluate by interpreting it in terms of...

Question 11

The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car.         0 0
60   10   70   20   80   30   90   40   100   50

Accepted Answer

A) 1.8 miles 
B) 0.6 miles 
C) 0.8 miles 
D) 1.2 miles 
E) 2.4 miles 
A) 1.8 miles 
B) 0.6 miles 
C) 0.8 miles 
D) 1.2 miles 
E) 2.4 miles

Question 12

Express the integral as a limit of sums. Then evaluate the limit.

Accepted Answer

The answer of Express the integral as a limit of...

Question 13

Use the Midpoint Rule with n = 10 to approximate the integral.

Accepted Answer

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

Question 14

Evaluate the indefinite integral.

Accepted Answer

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

Question 15

Evaluate the integral by making the given substitution.

Accepted Answer

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

Question 16

Evaluate the definite integral.

Accepted Answer

The answer of Evaluate the definite integral.  ...

Question 17

Find a function   such that   for x > 0 and some number 
a.

Accepted Answer

The answer of Find a function   such that...

Question 18

Evaluate the integral.

Accepted Answer

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

Question 19

Evaluate the integral.

Accepted Answer

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

Question 20

Find the derivative of the function.

Accepted Answer

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

Evaluate the indefinite integral.

A table of values of an increasing function is shown. Use the table to find an upper estimate of . -45 -37 -27 9 10 23

Evaluate the definite integral.

The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval.

The velocity graph of a car accelerating from rest to a speed of 7 km/h over a period of 10 seconds is shown. Estimate to the nearest integer the distance traveled during this period. Use a right sum with .

Evaluate by interpreting it in terms of areas.

The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral .Find the area..

Evaluate by interpreting it in terms of areas.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Evaluate by interpreting it in terms of areas.

The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car. 0 0 60 10 70 20 80 30 90 40 100 50

Express the integral as a limit of sums. Then evaluate the limit.

Use the Midpoint Rule with n = 10 to approximate the integral.

Evaluate the indefinite integral.

Evaluate the integral by making the given substitution.

Evaluate the definite integral.

Find a function such that for x > 0 and some number a.

Evaluate the integral.

Evaluate the integral.

Find the derivative of the function.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

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Exam 5: Integrals

Evaluate the indefinite integral.

A table of values of an increasing function is shown. Use the table to find an upper estimate of . -45 -37 -27 9 10 23

Evaluate the definite integral.

The velocity function (in meters per second) is given for a particle moving along a line. Find the distance traveled by the particle during the given time interval.

The velocity graph of a car accelerating from rest to a speed of 7 km/h over a period of 10 seconds is shown. Estimate to the nearest integer the distance traveled during this period. Use a right sum with .

Evaluate by interpreting it in terms of areas.

The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure) is given by the integral .Find the area..

Evaluate by interpreting it in terms of areas.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Evaluate by interpreting it in terms of areas.

The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car. 0 0 60 10 70 20 80 30 90 40 100 50

Express the integral as a limit of sums. Then evaluate the limit.

Use the Midpoint Rule with n = 10 to approximate the integral.

Evaluate the indefinite integral.

Evaluate the integral by making the given substitution.

Evaluate the definite integral.

Find a function such that for x > 0 and some number a.

Evaluate the integral.

Evaluate the integral.

Find the derivative of the function.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters