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Q48Section I (Objective (Q1–Q80))48 of 80

Numerical Analysis — undetermined coefficient of a three-node quadrature rule

What is the value of b if ∫0hf(x) dx=ahf(0)+bhf(h3)+chf(h)\int_0^h f(x)\, dx = ahf(0) + bhf\left(\frac{h}{3}\right) + chf(h) exists for a polynomial of degree as high as possible?

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