Question 1

Solve the problem.
-An oil storage tank can be described as the volume generated by revolving the area bounded by         about the x-axis. Find the volume   of the tank.

Accepted Answer

A)  170   
B)  42.4   
C)  1170   
D)  2.12   
A)  170   
B)  42.4   
C)  1170   
D)  2.12

Question 2

Give the appropriate form of the partial fraction decomposition.
-

Accepted Answer

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

Question 3

Evaluate the integral.
-

Accepted Answer

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

Question 4

Find the area or volume.
-Find the area under y =   in the first quadrant.

Accepted Answer

A)    $\pi$ 
B)  14$\pi$ 
C)  7$\pi$ 
D)    $\pi$ 
A)    $\pi$ 
B)  14$\pi$ 
C)  7$\pi$ 
D)    $\pi$

Question 5

Use integration by parts to establish a reduction formula for the integral.
-  , n $\neq$1

Accepted Answer

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

Question 6

Use reduction formulas to evaluate the integral.
-

Accepted Answer

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

Question 7

Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
-

Accepted Answer

A)    
B)    
C)  24 
D)    
A)    
B)    
C)  24 
D)

Solve the problem. -An oil storage tank can be described as the volume generated by revolving the area bounded by about the x-axis. Find the volume of the tank.

Give the appropriate form of the partial fraction decomposition. - $Give the appropriate form of the partial fraction decomposition. -$

Evaluate the integral. -

Find the area or volume. -Find the area under y = in the first quadrant.

Use integration by parts to establish a reduction formula for the integral. - $Use integration by parts to establish a reduction formula for the integral. - , n \neq 1$ , n $\neq$ 1

Use reduction formulas to evaluate the integral. -

Use the Trapezoidal Rule with n = 4 steps to estimate the integral. -

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Exam 8: Integration Techniques