Q000009: open Newton–Cotes

Integral\(\displaystyle \int f(x)\,\mathrm{d}x\)
NotesOrder 0 open Newton–Cotes is the midpoint rule
Order 2 closed Newton–Cotes is Milne's rule
References
Abrahamowitz, Milton and Stegum, Irene A. Newton-Cotes formulas (open type), in Handbook of mathematical functions with formulas, graphs, and mathematical tables, 1964.

Interval

Order 0

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Order 1

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Order 2

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Order 3

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Order 4

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