Use the Trapezoid rule to approximate: dx; n = 8

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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please solve ALL questions
1.
2.
3.
4.
5.
6.
show work please
1. Use the Trapezoid rule to approximate: J,1
dx; n = 8
2. Use the Midpoint rule to approximate: 2cos(x) + 5dx; n = 4
3. Use Simpson's rule to approximate: In(1 + e2)dx; n = 10
10
%3D
4. Determine if the interval converges. If it converges, evaluate it:
2x+1
5. Determine if the interval converges. If it converges, evaluate it: 3'dx
6. Determine if the interval converges. If it converges, evaluate it:
dx
1-4x-5
Transcribed Image Text:please solve ALL questions 1. 2. 3. 4. 5. 6. show work please 1. Use the Trapezoid rule to approximate: J,1 dx; n = 8 2. Use the Midpoint rule to approximate: 2cos(x) + 5dx; n = 4 3. Use Simpson's rule to approximate: In(1 + e2)dx; n = 10 10 %3D 4. Determine if the interval converges. If it converges, evaluate it: 2x+1 5. Determine if the interval converges. If it converges, evaluate it: 3'dx 6. Determine if the interval converges. If it converges, evaluate it: dx 1-4x-5
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