Problem

Recode the Romberg procedure so that all the trapezoid rule results are computed first a...

Recode the Romberg procedure so that all the trapezoid rule results are computed first and stored in the first column. Then in a separate procedure,

procedures Extrapolate(n, (ri ))

carry out Richardson extrapolation, and store the results in the lower triangular part of the (ri ) array. What are the advantages and disadvantages of this procedure over the routine given in the text? Test on the two integrals using only one computer run.

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