- #1
fluidistic
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The question is : Determine the degree of precision of the formula for [tex]\int_{-1}^{1} f(x)dx[/tex]~[tex]\frac{4}{3}f(-0.5)-\frac{2}{3}f(0)+\frac{4}{3}f(0.5)[/tex].
My guess is that I must answer like "the degree of precision is that this formula is exact for polynomials of grade [tex]\leqslant[/tex] 2", for example.
My attempt are just thoughts... Can't start. Watching the coefficients in the right side of the "approximation", it is similar to the Simpson's rule.
Please help me telling me how can I start. Thanks!
My guess is that I must answer like "the degree of precision is that this formula is exact for polynomials of grade [tex]\leqslant[/tex] 2", for example.
My attempt are just thoughts... Can't start. Watching the coefficients in the right side of the "approximation", it is similar to the Simpson's rule.
Please help me telling me how can I start. Thanks!