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Q2 Approximate this integral using Simpson's rule whose abscissa and weights are given by {-1,0,1} and {1/3,4 /3,1/ 3} , respectively.

Q2 Approximate this integral using Simpson's rule whose abscissa and weights are given by {-1,0,1} and {1/3,4 /3,1/ 3} , respectively.

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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i need "Q2"...

you should get an expression in terms of the a's.  

Consider the cubic polynomial p(x)= a3x³ + a,x´ + a,x + ao . Q1 Evaluate p(x) dx . LP(x)dx = [ azx³ + a,x² + a‚x + ao dx + dox 2 4 3 -1 [a,(1)*, az(1)° , a (1)° [a3(-1)* , az(-1)° , a,(-1)² + ao(-1) + a, (1) 2 4 3 4 3 az + do do 4 3 4 3 of . af a2_ af + do + do 3 3 2a2 + 2a, 3 Q2 Approximate this integral using Simpson's rule whose abscissa and weights are given by {-1,0,1} and {1/3,4 /3,1/3} , respectively. ||
Transcribed Image Text:Consider the cubic polynomial p(x)= a3x³ + a,x´ + a,x + ao . Q1 Evaluate p(x) dx . LP(x)dx = [ azx³ + a,x² + a‚x + ao dx + dox 2 4 3 -1 [a,(1)*, az(1)° , a (1)° [a3(-1)* , az(-1)° , a,(-1)² + ao(-1) + a, (1) 2 4 3 4 3 az + do do 4 3 4 3 of . af a2_ af + do + do 3 3 2a2 + 2a, 3 Q2 Approximate this integral using Simpson's rule whose abscissa and weights are given by {-1,0,1} and {1/3,4 /3,1/3} , respectively. ||
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