(Error function) Calculate the Lagrange polynomial P2(X) for the 50-values of the enor

Chapter 19, Problem 19.1.50

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(Error function) Calculate the Lagrange polynomial \(p_{2}(x)\) for the 5D-values of the error function \(f(x)=\operatorname{erf} x=(2 / \backslash \sqrt{\pi}) \int_{0}^{x} e^{-w^{2}} d w\), namely. f(0.25) = 0.27633 , f(0.5) = 0.52050 , f(1) = 0.84270, and from \(p_{2}\) an approximation of f(0.75) (=0.71116. 5D).

Text Transcription:

p_2(x)

f(x) = erf x = (2/sqrt{pi}) int_{0}^{x} e^{-w^2} dw

p_2

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