[7] Use the 5-point Gaussian quadrature formula to approximate 1 1 +/FL₁ ₁ -x²2 dx. The nodes and weights are listed in Table 1. The true value of the integrand is erf(1) ≈ 0.8427007929497148. What is the percent error in your approximation?
[7] Use the 5-point Gaussian quadrature formula to approximate 1 1 +/FL₁ ₁ -x²2 dx. The nodes and weights are listed in Table 1. The true value of the integrand is erf(1) ≈ 0.8427007929497148. What is the percent error in your approximation?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Xi
Wi
-0.906179845938664 0.236926885056182
-0.538469310105683 0.478628670499366
0.568888888888888
0.0
0.538469310105683 0.478628670499366
0.906179845938664 0.236926885056182
Table 1: Nodes and weights for exercise [7].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fd47556-f3ce-4f39-818d-be563d9523c8%2F3436c7ad-f6b9-4402-a82a-d975f15b597f%2Ffr9g47a_processed.png&w=3840&q=75)
Transcribed Image Text:Xi
Wi
-0.906179845938664 0.236926885056182
-0.538469310105683 0.478628670499366
0.568888888888888
0.0
0.538469310105683 0.478628670499366
0.906179845938664 0.236926885056182
Table 1: Nodes and weights for exercise [7].
![[7] Use the 5-point Gaussian quadrature formula to approximate
1
√ L
e
-x²
dx.
The nodes and weights are listed in Table 1.
The true value of the integrand is erf(1) ≈ 0.8427007929497148. What is
the percent error in your approximation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fd47556-f3ce-4f39-818d-be563d9523c8%2F3436c7ad-f6b9-4402-a82a-d975f15b597f%2F1mtnr6f_processed.png&w=3840&q=75)
Transcribed Image Text:[7] Use the 5-point Gaussian quadrature formula to approximate
1
√ L
e
-x²
dx.
The nodes and weights are listed in Table 1.
The true value of the integrand is erf(1) ≈ 0.8427007929497148. What is
the percent error in your approximation?
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