A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration for.. functions ƒ(x)=1 and x. The one-point Gauss quadrature rule approximation for [ƒ(x)dx is
A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration for.. functions ƒ(x)=1 and x. The one-point Gauss quadrature rule approximation for [ƒ(x)dx is
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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![A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration for..
functions f(x) = 1 and x. The one-point Gauss quadrature rule approximation for f(x) dx is
(b-a)f (a)
A
b-a
b+a
b -a
b+a
© ': [√( b = ª (-) + ³+ ª) + (6 = ª(+679)
{}
в)
2
2
2
2
2
Ⓒ (b-a) [(a+b)
(c)
f
2
b=ª[ƒ(a) + ƒ(b)]
2
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1c10641-90c0-422b-97c2-6a7768a3c792%2F4f79f3f4-fed9-450d-809a-7eaea7907b55%2Femv63ge_processed.png&w=3840&q=75)
Transcribed Image Text:A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration for..
functions f(x) = 1 and x. The one-point Gauss quadrature rule approximation for f(x) dx is
(b-a)f (a)
A
b-a
b+a
b -a
b+a
© ': [√( b = ª (-) + ³+ ª) + (6 = ª(+679)
{}
в)
2
2
2
2
2
Ⓒ (b-a) [(a+b)
(c)
f
2
b=ª[ƒ(a) + ƒ(b)]
2
D
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