A numerical integration formula is written as displaystyleint-1^1 f(x),dx = 1/2[f(-1) + cf(1/3)] The value of c such that the method is of highest possible order is

Q77Section I (Objective (Q1–Q80))77 of 80

Numerical Analysis — determining a quadrature coefficient for maximum order

A numerical integration formula is written as

$\displaystyle\int_{-1}^1 f(x)\,dx = \frac{1}{2}\left[f(-1) + cf\left(\frac{1}{3}\right)\right]$

The value of $c$ such that the method is of highest possible order is

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