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6 Use it to evaluate (i) f √₁ 1 1+x² dx with step size h = 1. (

6 Use it to evaluate (i) f √₁ 1 1+x² dx with step size h = 1. (

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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(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.
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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