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Posted: **Thu May 05, 2022 6:35 pm**

: Consider The Newton Cotes Formula For F F X Dx Af 2 Bf 1 Based On The Lagrange Interpolation Polynomial At Th 1 (43.54 KiB) Viewed 39 times

Consider the Newton-cotes formula for ƒ¹⁄₂f(x)dx ≈ Aƒ( − 2) + Bƒ(1) based on the Lagrange interpolation polynomial at the nodes -2 and 1. Find the constants A and B so that the above Newton-cotes formula is exact for all linear functions.