Find the Gaussian quadrature formula for n = 2 on the interval [0, 0) with weight function w(x) = e¯ª. That is, find the weights and nodes for the formula 2 e¯² f(x) dx ≈ Σwif (xi). i=1 foe What is the degree of the precision of this formula?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Find the Gaussian quadrature formula for n = 2 on the interval [0, ∞) with weight function
w(x) = e¯ª. That is, find the weights and nodes for the formula
2
[*° e¯³ f(x) da ≈ Σ wif(x₁).
е
0
i=1
What is the degree of the precision of this formula?
Transcribed Image Text:Find the Gaussian quadrature formula for n = 2 on the interval [0, ∞) with weight function w(x) = e¯ª. That is, find the weights and nodes for the formula 2 [*° e¯³ f(x) da ≈ Σ wif(x₁). е 0 i=1 What is the degree of the precision of this formula?
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