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Question: approximate with n 20 and n 40 use...

Question details

Approximate

I(f)=\int_{0}^{2}\sqrt{[sin(3x)*cos(3x)]^2+1}dx

With n = 20 and n = 40, use the code of the Composite Simpson’s Rule (alg041) to find the approximations.

Output the approximations and analyze your results.

(1) Question should be solved by using computer. Please also hand in your results and the copies of your running procedures when you use computer to solve the question.

(2) Please make sure that you hand in the results with necessary intermediate steps

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