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Derive the closed Newton-Cotes formula for ſ₁² f(x) dx ≈ Σk_o aj f(x;) with n = 5 based on the nodes k=0 0, ,,,, and 1 b

Posted: Thu May 05, 2022 6:47 pm
by answerhappygod
 1
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Derive the closed Newton-Cotes formula for ſ₁² f(x) dx ≈ Σk_o aj f(x;) with n = 5 based on the nodes k=0 0, ,,,, and 1 by deriving the necessary conditions on the a; to ensure that the method has degree of precision 5. You may use the software package of your choice to solve the system of equations.