Problem 9 Find the solution of Legrendre polynomial L3 and use three-point Gauss for- mula to approximate the integral 30 (20001 [1 n 140000 o]) d - 140000 2100t dt. Also, find the absolute relative true error if the exact result is 11061.34. Hints: Use the below table Ck 0.55555556 0.55555556 0.88888889 Xk 0.77459667 3 -0.77459667 0 Table 1: Nodes and Weights of Gaussian Quadrature Rule

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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Problem 9
Find the solution of Legrendre polynomial L3 and use three-point Gauss for-
mula to approximate the integral
-30
140000
n
7])
2000ln
Also, find the absolute relative true error if the exact result is 11061.34.
Hints: Use the below table
1
140000 2100t
dt.
Ck
0.55555556
0.55555556
0.88888889
Ik
0.77459667
3 -0.77459667
0
Table 1: Nodes and Weights of Gaussian Quadrature Rule
Transcribed Image Text:Problem 9 Find the solution of Legrendre polynomial L3 and use three-point Gauss for- mula to approximate the integral -30 140000 n 7]) 2000ln Also, find the absolute relative true error if the exact result is 11061.34. Hints: Use the below table 1 140000 2100t dt. Ck 0.55555556 0.55555556 0.88888889 Ik 0.77459667 3 -0.77459667 0 Table 1: Nodes and Weights of Gaussian Quadrature Rule
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