Question: Let $F$ be a smooth function on $[1,2]$. Suppose that the folloming quadrature formula: $$ Vint_{1}^{2} f(x) d x approx a f(1) + f(2)+c f^{prime)

Let $F$ be a smooth function on $[1,2]$. Suppose that the

Let $F$ be a smooth function on $[1,2]$. Suppose that the folloming quadrature formula: $$ Vint_{1}^{2} f(x) d x \approx a f(1) + f(2)+c f^{\prime) (1) $$ has the highest degree of precision, then the constants $a, b$ and $c$ are: $a=5 / 6, b=1 / 6, c=1 / 3$ $a=2 / 3, b=1 / 3, c=1 / 6$ $a=-1/2, b=3 / 2, CE-1 / 6$ $a=1 / 2, b=1 / 2, C=-1 / 12$ SP.S0.4391

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