Numerical integration - simpson rule, Mathematics

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(1)Derive, algebraically, the 2nd order (Simpson's Rule) integration formula using 3 equally spaced sample points, f0,f1,f2 with an increment of h.

(2) Using software such as Mathematica to find the 8th-order integration rule using 9 equally spaced sample points f0,f1,f2,f3,f4,f5,f6,f7,f8. Copy and paste the computer results into a printable file.

 


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