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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.8 Numerical Integration, #20 · Calculus · Integrals

Can you invent a rule using … to reach higher accuracy than…

Can you invent a rule using $A y_{0} + B y_{1/4} + C y_{1/2} + D y_{3/4} + E y_{1}$ to reach higher accuracy than Simpson's?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.8 Numerical Integration, #20

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