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Numerical Integration: Romberg's Method

Romberg's method is a powerful numerical integration technique that uses refinements of the extended trapezoidal rule to reduce error in definite integrals.

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Each element of the column is calculated from the elements of the preceding column, , using the expression .
The elements of the first column are calculated using the trapezoidal rule with subdivisions.

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"Numerical Integration: Romberg's Method" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/NumericalIntegrationRombergsMethod/
Contributed by: Eugenio Bravo Sevilla
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