Question 1

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

Accepted Answer

A)   
B)   -3 π\piπ 
C)   - 
D)   0  C

Question 2

Solve the problem.
-Find the area bounded by y( 49 + 16  ) = 4, x = 0, y = 0, and x = 5.

Accepted Answer

A)     
B)   4  
C)     
D)     C

Question 3

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

Accepted Answer

A)    ln 5
B)    ln 4
C)   -  ln 5
D)   4 ln 5 A

Question 4

Use a CAS to perform the integration.
-

Accepted Answer

A)    ln x +  + C
B)    ln x -  + C
C)    ln x -  + C
D)    ln x -  + C

Question 5

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

Accepted Answer

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

Question 6

Find the indicated Simpson's Rule approximations to the integral. Round to 5 decimal places.
- using n = 4 and n = 8 subintervals

Accepted Answer

A)   40.71405 for n = 4; 81.44146 for n = 8
B)   27.14715 for n = 4; 27.14270 for n = 8
C)   27.14270 for n = 4; 27.14715 for n = 8
D)   81.44146 for n = 4; 40.71405 for n = 8

Question 7

Solve the problem.
-The growth rate of a certain tree (in feet) is given by y =  +  , where t is time in years. Estimate the total growth of the tree through the end of the second year by using Simpson's rule. Use 2 subintervals. Round your answer to the nearest hundredth.

Accepted Answer

A)   2.34 ft
B)   3.68 ft
C)   5.11 ft
D)   3.41 ft

Question 8

Evaluate the integral.
-

Accepted Answer

A)   2
B)   1
C)   2 + 
D)   2 -

Question 9

Evaluate the integral.
-

Accepted Answer

A)  
B)  
C)  
D)

Question 10

Integrate the function.
- dx

Accepted Answer

A)  
B)  
C)  
D)

Question 11

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

Accepted Answer

A)   1 
B)   144
C)   2304
D)   144

Question 12

Evaluate the integral.
-

Accepted Answer

A)  
B)  
C)  
D)

Question 13

Give the appropriate form of the partial fraction decomposition.
-

Accepted Answer

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

Question 14

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

Accepted Answer

A)   -1 - 2 
B)   - 
C)   - 
D)   -

Question 15

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

Accepted Answer

A)   ln 1
B)   
C)   Divergent
D)   ln 3

Question 16

Evaluate the integral by making a substitution and then using a table of integrals.
-  dx

Accepted Answer

A)  
B)  
C)  
D)

Question 17

Evaluate the integral.
-  dx

Accepted Answer

A)   
B)  
C)  
D)

Question 18

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

Accepted Answer

A)   56
B)   28
C)   112
D)

Question 19

Use integration by parts to establish a reduction formula for the integral.
-

Accepted Answer

A)    
B)    
C)   
D)

Question 20

Evaluate the integral.
-  x dx

Accepted Answer

A)   - 
B)   - 
C)   
D)

Exam 8: Integration Techniques

Evaluate the improper integral or state that it is divergent. - $Evaluate the improper integral or state that it is divergent. - A) B) -3 \pi C) - D) 0$

Solve the problem. -Find the area bounded by y( 49 + 16 ) = 4, x = 0, y = 0, and x = 5.

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

Use a CAS to perform the integration. -

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

Find the indicated Simpson's Rule approximations to the integral. Round to 5 decimal places. - using n = 4 and n = 8 subintervals

Solve the problem. -The growth rate of a certain tree (in feet) is given by y = + , where t is time in years. Estimate the total growth of the tree through the end of the second year by using Simpson's rule. Use 2 subintervals. Round your answer to the nearest hundredth.

Evaluate the integral. -

Evaluate the integral. -

Integrate the function. - dx

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

Evaluate the integral. -

Give the appropriate form of the partial fraction decomposition. - $Give the appropriate form of the partial fraction decomposition. - A) + B) + C) + D) +$

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

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

Evaluate the integral by making a substitution and then using a table of integrals. - dx

Evaluate the integral. - dx

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

Use integration by parts to establish a reduction formula for the integral. -

Evaluate the integral. - x dx