wherer € [1, 5]. Use 5 nodes to u intervals. 1. Use Trapezoid rule to approxim
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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Answer Question 2
![exp (") — еxp(-)
f(x) =
exp(a) + exp(-ӕ)
+ In(x)
wherer e [1, 5). Use 5 nodes to uniformly cut the interval [1,5] into 4 sub-
intervals.
1. Use Trapezoid rule to approximate f f(x)dx.
2. Use Simpson's rule to approximate ſi f(x)dx.
3. Use 2 Gaussian points (n = 1) to evaluate the integration in each sub-
interval, and sum them up to get the integration over the entire domain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74ac81bd-2b81-497e-b1b6-4cc5e46be1b6%2F71695052-6ae1-49bc-b563-5dc6cad47f37%2Fz8pyrve_processed.png&w=3840&q=75)
Transcribed Image Text:exp (") — еxp(-)
f(x) =
exp(a) + exp(-ӕ)
+ In(x)
wherer e [1, 5). Use 5 nodes to uniformly cut the interval [1,5] into 4 sub-
intervals.
1. Use Trapezoid rule to approximate f f(x)dx.
2. Use Simpson's rule to approximate ſi f(x)dx.
3. Use 2 Gaussian points (n = 1) to evaluate the integration in each sub-
interval, and sum them up to get the integration over the entire domain.
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