Question 1

Evaluate the improper integral.
-

Accepted Answer

A)  5 
B)  3 
C)  0 
D)  15 
A)  5 
B)  3 
C)  0 
D)  15

Question 2

Evaluate the improper integral or state that it is divergent.
-

Accepted Answer

A)  18 
B)  -18 
C)  Divergent 
D)  36 
A)  18 
B)  -18 
C)  Divergent 
D)  36

Question 3

Evaluate the integral.
-  dx

Accepted Answer

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

Question 4

Solve the problem.
-A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.

Accepted Answer

A)  9300   
B)  12,300   
C)  10,500   
D)  7000   
A)  9300   
B)  12,300   
C)  10,500   
D)  7000

Question 5

Evaluate the integral.
-

Accepted Answer

A)  6.68 
B)  2.68 
C)  4.6 
D)  0.68 
A)  6.68 
B)  2.68 
C)  4.6 
D)  0.68

Question 6

Integrate the function.
-  dt

Accepted Answer

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

Question 7

Express the integrand as a sum of partial fractions and evaluate the integral.
-   dx

Accepted Answer

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

Question 8

Evaluate the integral.
-

Accepted Answer

A)  Diverges 
B)    
C)    
D)  1 
A)  Diverges 
B)    
C)    
D)  1

Question 9

Use Simpson's Rule with n = 4 steps to estimate the integral.
-

Accepted Answer

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

Question 10

Choose the one alternative that best completes the statement or answers the question. Evaluate the integral
-

Accepted Answer

A)    ln   + C 
B)    ln   + C 
C)  4 ln   + C 
D)    ln   + C 
A)    ln   + C 
B)    ln   + C 
C)  4 ln   + C 
D)    ln   + C

Question 11

Find the volume.
-Find the volume of the solid generated by revolving the area under y = 8   in the first quadrant about the y-axis.

Accepted Answer

A)  32$\pi$ 
B)  16$\pi$ 
C)  8$\pi$ 
D)  1 
A)  32$\pi$ 
B)  16$\pi$ 
C)  8$\pi$ 
D)  1

Question 12

Evaluate the integral.
-

Accepted Answer

A)  2   + 2       + C 
B)    ln   + C 
C)        + C 
D)    ln   + C 
A)  2   + 2       + C 
B)    ln   + C 
C)        + C 
D)    ln   + C

Question 13

Integrate the function.
-  dt

Accepted Answer

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

Question 14

Express the integrand as a sum of partial fractions and evaluate the integral.
-

Accepted Answer

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

Question 15

Evaluate the integral.
-

Accepted Answer

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

Question 16

Evaluate the integral.
-

Accepted Answer

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

Question 17

Integrate the function.
-

Accepted Answer

A)    
B)    - 39 
C)    
D)    
A)    
B)    - 39 
C)    
D)

Question 18

Integrate the function.
-

Accepted Answer

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

Question 19

Evaluate the integral.
-

Accepted Answer

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

Question 20

Use reduction formulas to evaluate the integral.
-

Accepted Answer

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

Evaluate the improper integral. -

Evaluate the improper integral or state that it is divergent. -

Evaluate the integral. - dx

Solve the problem. -A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.

Evaluate the integral. -

Integrate the function. - dt

Express the integrand as a sum of partial fractions and evaluate the integral. - $Express the integrand as a sum of partial fractions and evaluate the integral. - dx$ dx

Evaluate the integral. -

Use Simpson's Rule with n = 4 steps to estimate the integral. -

Choose the one alternative that best completes the statement or answers the question. Evaluate the integral -

Find the volume. -Find the volume of the solid generated by revolving the area under y = 8 in the first quadrant about the y-axis.

Evaluate the integral. -

Integrate the function. - dt

Express the integrand as a sum of partial fractions and evaluate the integral. - $Express the integrand as a sum of partial fractions and evaluate the integral. -$

Evaluate the integral. -

Evaluate the integral. -

Integrate the function. -

Integrate the function. -

Evaluate the integral. -

Use reduction formulas to evaluate the integral. -

Functions

Limits

Derivatives

Applications of the Derivative

Integration

Applications of Integration

Logarithmic, Exponential, and Hyperbolic Functions

Differential Equations

Sequences and Infinite Series

Power Series

Parametric and Polar Curves

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Calculus

Filters

Exam 8: Integration Techniques

Evaluate the improper integral. -

Evaluate the improper integral or state that it is divergent. -

Evaluate the integral. - dx

Solve the problem. -A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.

Evaluate the integral. -

Integrate the function. - dt

Express the integrand as a sum of partial fractions and evaluate the integral. - dx

Evaluate the integral. -

Use Simpson's Rule with n = 4 steps to estimate the integral. -

Choose the one alternative that best completes the statement or answers the question. Evaluate the integral -

Find the volume. -Find the volume of the solid generated by revolving the area under y = 8 in the first quadrant about the y-axis.

Evaluate the integral. -

Integrate the function. - dt

Express the integrand as a sum of partial fractions and evaluate the integral. -

Evaluate the integral. -

Evaluate the integral. -

Integrate the function. -

Integrate the function. -

Evaluate the integral. -

Use reduction formulas to evaluate the integral. -

Functions

Limits

Derivatives

Applications of the Derivative

Integration

Applications of Integration

Logarithmic, Exponential, and Hyperbolic Functions

Differential Equations

Sequences and Infinite Series

Power Series

Parametric and Polar Curves

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Calculus

Filters

Express the integrand as a sum of partial fractions and evaluate the integral. - $Express the integrand as a sum of partial fractions and evaluate the integral. - dx$ dx

Express the integrand as a sum of partial fractions and evaluate the integral. - $Express the integrand as a sum of partial fractions and evaluate the integral. -$