Consider the following function: f(x) = e- x, which is continuous on the interval [1,3]. Use this function to answer the following: (a) i Find the actual integral value for this function. (b) Use Composite Newton-cotes formula to find the numerical integration for 4 segments. (c) - Compute the error in percentage between the results obtained in the previous two parts. How can we decrease the error more? (d) - Use the Simpson rule to find the numerical integration.
Consider the following function: f(x) = e- x, which is continuous on the interval [1,3]. Use this function to answer the following: (a) i Find the actual integral value for this function. (b) Use Composite Newton-cotes formula to find the numerical integration for 4 segments. (c) - Compute the error in percentage between the results obtained in the previous two parts. How can we decrease the error more? (d) - Use the Simpson rule to find the numerical integration.
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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![Consider the following function: f(x)
answer the following:
(a) i
(b)..
=
ex − x, which is continuous on the interval [1,3]. Use this function to
Find the actual integral value for this function.
Use Composite Newton-cotes formula to find the numerical integration for 4 segments.
(c) 1-
-- Compute the error in percentage between the results obtained in the previous two parts. How can
we decrease the error more?
(d).
Use the Simpson rule to find the numerical integration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F277e25c5-578c-437a-9849-2ae85232a728%2F93294572-574d-4aa8-aa34-a3edaca71437%2Fw7gwqat_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following function: f(x)
answer the following:
(a) i
(b)..
=
ex − x, which is continuous on the interval [1,3]. Use this function to
Find the actual integral value for this function.
Use Composite Newton-cotes formula to find the numerical integration for 4 segments.
(c) 1-
-- Compute the error in percentage between the results obtained in the previous two parts. How can
we decrease the error more?
(d).
Use the Simpson rule to find the numerical integration.
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