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2. a) Evaluate xin(x) dx using the Trapezium rule with 4 ordinates. Complete the table by calculating appropriate values of y. Use at least 4 significant figures in your calculations and give your final answer correct to 3 significant figures. 1 2 y = xin(x) 5.545 b) Why is it not possible to use Simpsons rule for this problem? c) How could we make our final answer more accurate?

2. a) Evaluate xin(x) dx using the Trapezium rule with 4 ordinates. Complete the table by calculating appropriate values of y. Use at least 4 significant figures in your calculations and give your final answer correct to 3 significant figures. 1 2 y = xin(x) 5.545 b) Why is it not possible to use Simpsons rule for this problem? c) How could we make our final answer more accurate?

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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2. a) Evaluate xin(x) dx using the Trapezium rule with 4 ordinates. Complete the table by calculating appropriate values of y. Use at least 4 significant figures in your calculations and give your final answer correct to 3 significant figures. 1 2 3 y = xln(x) 5.545 b) Why is it not possible to use Simpsons rule for this problem? c) How could we make our final answer more accurate?
Transcribed Image Text:2. a) Evaluate xin(x) dx using the Trapezium rule with 4 ordinates. Complete the table by calculating appropriate values of y. Use at least 4 significant figures in your calculations and give your final answer correct to 3 significant figures. 1 2 3 y = xln(x) 5.545 b) Why is it not possible to use Simpsons rule for this problem? c) How could we make our final answer more accurate?
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