Scientia et technica

Approximate integration through remarkable points using the Intermediate Value Theorem

Jaime Castro Pérez


Using the Intermediate Value Theorem we demonstrate the rules of Trapeze and Simpson's. Demonstrations with this approach and its generalization to new formulas are less laborious than those resulting from methods such as polynomial interpolation or Gaussian quadrature. In addition, we extend the theory of approximate integration by finding new approximate integration formulas.

Palabras clave

Approximate Integration, Simpson’s Rule, Intermediate Value Theorem.

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