6 Use it to evaluate (i) f √₁ 1 1+x² dx with step size h = 1. (
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
![(1) Derive composite Trapezoidal rule and associate error.
Use it to evaluate (i) ƒ: da with step size h = 1. (ii) fe²² dr with step size h = 0.2.
1
01+x2
0
(2) Derive composite Simpson's 1/3rd rule and associate error.
1x2
Use it to evaluate f dx with step size h = 0.25, and compare it with exact value.
0
+x
Please do 2 derive trapezoid rule
And associate error
And simpson 1/3rd rule and give error. Evalute this
by this method. Please do 2 questions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febc0a4c8-224c-4602-9874-e77cb25d981e%2Feb28ec44-d216-4b2e-b837-567a942dd79e%2F8rjh9ao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1) Derive composite Trapezoidal rule and associate error.
Use it to evaluate (i) ƒ: da with step size h = 1. (ii) fe²² dr with step size h = 0.2.
1
01+x2
0
(2) Derive composite Simpson's 1/3rd rule and associate error.
1x2
Use it to evaluate f dx with step size h = 0.25, and compare it with exact value.
0
+x
Please do 2 derive trapezoid rule
And associate error
And simpson 1/3rd rule and give error. Evalute this
by this method. Please do 2 questions.
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