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Formula de cuadratura Simpson-Cavalieri

 
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Cezar Lupu
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PostPosted: Mon Oct 29, 2007 12:23 pm    Post subject: Formula de cuadratura Simpson-Cavalieri Reply with quote

Daca f:[a, b]\to\mathbb{R} este o functie de clasa C^{4}[a,b] atunci exista \xi\in (a, b) astfel incat

\int_{a}^{b}f(x)dx=\frac{(b-a)}{6}\left[f(a)+4f\left(\frac{a+b}{2}\right)+f(b)\right]-\frac{(b-a)^{5}}{2880}f^{(4)}(\xi).
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