MATLAB

Consider the equation f(x) = x sin(x) Integrate f(x) from x = 5 to 3000 (inclusive) with 6001 points using the Simpson's 1/3 and trapezoidal rules alternately, such that 6001 points are used in total. An example of this pattern is shown below. What is the total integrated value rounded to the nearest integer? Simpson's 1/3 rule: points 1, 2, 3 Trapezoidal rule: points 3, 4 Simpson's 1/3 rule: points 4, 5, 6 Trapezoidal rule: points 6, 7 Simpson's 1/3 rule: points 7, 8, 9 Trapezoidal rule: points 9, 10 Etc