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Consider the equation f(x)=x2cos(x). Integrate f(x) from x=5 to 3000 (inclusive) with 2211 points using the Simpson's 3/8 and Simpson's 1/3 rules alternatively, such that

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Consider the equation f(x)=x2cos(x). Integrate f(x) from x=5 to 3000 (inclusive) with 2211 points using the Simpson's 3/8 and Simpson's 1/3 rules alternatively, such that 2211 points are used in total. What is the total integrated value rounded to the nearest integer? Simpson's 3/8: points 1,2,3,4 Simpson's 1/3 rule: points 4,5,6 Simpson's 3/8: points 6,7,8,9 Simpson's 1/3 rule: points 9,10,11 Simpson's 3/8: points 11,12,13,14 Simpson's 1/3 rule: points 14,15,16 Etc

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