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Question: numerical approximation methods

Question:numerical approximation methods

setareh 5
package
July 14 2010
0

If we use numerical approximation to my integral(methods available in Student[NumericalAnalysis] package) the answer will be better or worse? I used simpson method for the my integral and i want you to compare this answer with the direct answer that we reached in the last comment..thank u so much

the first answer is the direct answer, and second & third answer is the use of simpson rule withh the numerical methods.which answer is better?



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INTEGRAL: Int(1/2*(1500-50*x)*(5-x)*2^(1/2)*exp(-1/2*(x-7)^2)/Pi^(1/2),x=0..30) = -2250            

APPROXIMATION METHOD: Simpson's Rule
---------------------------------- INFORMATION TABLE ----------------------------------
    Approximate Value         Absolute Error         Relative Error
         -2484.15228              234.152285             10.41 %
---------------------------------------------------------------------------------------
Number of Function Evaluations:     21
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The command to numerically approximate the integral of the expression above using Simpson's rule is

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(7)
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Download e1-9(question).mw

 

 

 

 
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