Consider the error formulas. IE] s (b-a)³ [max (f"(x)], a ≤ x ≤ b Trapezoidal Rule 120² Els (b-a)s [max (4)(x)], asxsb Simpson's Rule 180n Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. dx (a) Trapezoidal Rule X (b) Simpson's Rule X
Consider the error formulas. IE] s (b-a)³ [max (f"(x)], a ≤ x ≤ b Trapezoidal Rule 120² Els (b-a)s [max (4)(x)], asxsb Simpson's Rule 180n Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule. dx (a) Trapezoidal Rule X (b) Simpson's Rule X
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 error formulas.
IE] s (b-a)³ [max (f"(x)], a ≤ x ≤ b Trapezoidal Rule
120²
[max (4)(x)], asxsb
Simpson's Rule
Els (b-a)s
180n
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
dx
(a) Trapezoidal Rule
x
(b) Simpson's Rule
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda022532-3b58-468f-b6f8-1825f3b2b76f%2F809a51ac-d459-49ac-9f68-40979ad92140%2F0tjahjd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the error formulas.
IE] s (b-a)³ [max (f"(x)], a ≤ x ≤ b Trapezoidal Rule
120²
[max (4)(x)], asxsb
Simpson's Rule
Els (b-a)s
180n
Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.
dx
(a) Trapezoidal Rule
x
(b) Simpson's Rule
X
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