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Question: Newton-Cotes procedure to evaluate coefficients

Question:Newton-Cotes procedure to evaluate coefficients

Math Pi Euler 30 Maple 18
integration homework numeric newton-cotes
February 18 2018
0

Hi all, since I cannot use Latex over here I try to formulate as good as possible. Suppose we have the standard integral from a to b of a function f(x), which is equal to:

h * sum (k=1 to N) [ck f(a+kh)] +O(hp), where h=(b-a)/N+1, an p(N)>= N+1;

Would it be possible to write a procedure to evaluate the coefficients ck , k=1,2,3..N and P(N)

Perhaps a stupid question, because I don't know if it is possible.

Best wishes, Math
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