Consider the equation f(x) = x cos(x). Integrate f(x) from x = 5 to 3000 (inclusive)...

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Consider the equation f(x) = x² cos(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. Answer: Consider the equation f(x) = x² cos(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. Answer: