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Evaluate the definite integral I = exp (-a*) dæ by using 3-point Newton-Cotes (Simpson) and 2-point Gaussian integral algorithms. Using the exact value of the integral as I(f) = 0.885837, calculate the relative er- rors of the two algorithms.

Evaluate the definite integral I = exp (-a*) dæ by using 3-point Newton-Cotes (Simpson) and 2-point Gaussian integral algorithms. Using the exact value of the integral as I(f) = 0.885837, calculate the relative er- rors of the two algorithms.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Evaluate the definite integral I = x? exp (-2²) dx -3 by using 3-point Newton-Cotes (Simpson) and 2-point Gaussian integral algorithms. Using the exact value of the integral as I(f) rors of the two algorithms. = 0.885837, calculate the relative er-
Transcribed Image Text:Evaluate the definite integral I = x? exp (-2²) dx -3 by using 3-point Newton-Cotes (Simpson) and 2-point Gaussian integral algorithms. Using the exact value of the integral as I(f) rors of the two algorithms. = 0.885837, calculate the relative er-
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