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Pupil
Karma Points: 50
(University of Massachusetts - Amherst)
Respect (97%):
Date Posted: 5/15/2008 6:57:14 PM  Status: Live
please help!!!!
Course Textbook Chapter Problem
Calculus N/A N/A N/A
Question Details:
Given.
int_1^5 4 cos(6 x)/x dx text(, ) n = 4
Do the following. (Round your answer to six decimal places.)
(a) Use the Trapezoidal Rule to approximate the given integral with the specified value of n.


(b) Use the Midpoint Rule to approximate the given integral with the specified value of n.


(c) Use Simpson's Rule to approximate the given integral with the specified value of n.
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Answers:

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Scholar
Karma Points: 260
Date Posted: 5/16/2008 11:15:18 AM  Status: Live
Asker's Rating: Lifesaver   
Response:
Hint: Trepizoidal Rule to evaluate the integral 
        I =
      Simpson's 1/3rd rule or the Midpoint Rule
  
 
     Simpson's rule or Simpson's 3/8th rule
 
 
   Where
Let I =  in which a=1,b=5,n=4
and f(x) =  where x= 1,2,3,4,5 & h=1
     f(x)=  where x=1,2,3,4,5 since 6 is radian measure
 
          
x 1 2 3 4 5
f(x) 3.9712 1.9427 1.2497 0.887 0.6603
 
Using Trepizoidal Rule I =
                                    =
Using Simpson's 1/3rd rule or the Midpoint Rule
               I = =
Using Simpson's rule or Simpson's 3/8th rule
             I= =
Hope U can simplify the values
and hope this help U
    



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