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Integración Numérica

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Fórmulas Abiertas de Newton-Cotes<br />

n = 0: Regla del trapecio<br />

n = 1:<br />

x2<br />

x−1<br />

x1<br />

n = 2:<br />

x3<br />

f (x) dx =<br />

x−1<br />

x−1<br />

f (x) dx =<br />

f (x) dx = 2 h f (x0) + h3<br />

12 f ′′ (ξ)<br />

3 h<br />

2 (f (x0)<br />

3 h3<br />

+ f (x1)) −<br />

4 f (2) (ξ)<br />

4 h<br />

3 (2 f (x0)<br />

14 h5<br />

− f (x1) + 2 f (x2)) −<br />

45 f (4) (ξ)<br />

Abiertas? = que no usan la evaluación de la función en los<br />

extremos del intervalo de integración.<br />

Computación / Matemáticas <strong>Integración</strong> <strong>Numérica</strong>

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