Problem 22. U sing the Trapezoidal Rule for )د (23 + x) dx, a. Estimate the integral with n = 4 steps and find an upper bound M (b – a)³ 12n2 for |E„(f,T)|. b. Evaluate the integral directly and find |En(f,T)| precisely. c. Use the formula |E„(f,T)|| x 100% the true value to express |E,(f, T)| as a percentage of the integral's true value.
Problem 22. U sing the Trapezoidal Rule for )د (23 + x) dx, a. Estimate the integral with n = 4 steps and find an upper bound M (b – a)³ 12n2 for |E„(f,T)|. b. Evaluate the integral directly and find |En(f,T)| precisely. c. Use the formula |E„(f,T)|| x 100% the true value to express |E,(f, T)| as a percentage of the integral's true value.
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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Problem 22
Transcribed Image Text:Problem 22. Using the Trapezoidal Rule for
+ x) dx,
a. Estimate the integral with n = 4 steps and find an upper bound
M(b – a)3
12n2
for |En(f,T)|.
b. Evaluate the integral directly and find |En(f,T)| precisely.
c. Use the formula
|E„(f,T)|
x 100%
the true value
to express |En(f, T)| as a percentage of the integral's true value.
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