Consider the integral -dr whose actual value is In 2. 1+1
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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Question
Please solve part a and part c.
Transcribed Image Text:1. Consider the integral
-dr whose actual value is In 2.
1+r
(a) By hand: use Simpson's rule to approximate the integral and compare it to the
actual value of the integral.
(b) Use Maple/Python to approximate the given integral by using the composite
trapezoidal rule with 10 subintervals. Compare the approximation with the ac-
tual value of the integral.
(c) By hand: use the appropriate error formula to determine the number of subinter-
vals n required to approximate the integral to within six decimal places by using
the composite trapezoidal rule.
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