1 1 dx exactly and show that the result is Evaluate 1+ x? Then, find the approximate value of the 4 integral using the trapezoidal rule with n = 5 subdivisions. Use the result to approximate the value of 7 . The approximate value of 7 is: Give your answer accurate to four decimal places. Question Help: D Video 1 Video 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
1
dx exactly and show that the result is
Evaluate
1+ x²
Then, find the approximate value of the
4
integral
using the trapezoidal rule with n = 5 subdivisions. Use the
result to approximate the value of 7 .
The approximate value of 7 is:
Give your answer accurate to four decimal places.
Question Help: D Video 1 D Video 2
1.
Transcribed Image Text:1 dx exactly and show that the result is Evaluate 1+ x² Then, find the approximate value of the 4 integral using the trapezoidal rule with n = 5 subdivisions. Use the result to approximate the value of 7 . The approximate value of 7 is: Give your answer accurate to four decimal places. Question Help: D Video 1 D Video 2 1.
8.
Find the exact value of
xʻdx . Find the error of approximation between the exact value and the
4
value calculated using the trapezoidal rule with five subdivisions. Draw a graph to illustrate.
The exact value is:
The error in the approximation is:
Give your answer accurate to four decimal places.
Transcribed Image Text:8. Find the exact value of xʻdx . Find the error of approximation between the exact value and the 4 value calculated using the trapezoidal rule with five subdivisions. Draw a graph to illustrate. The exact value is: The error in the approximation is: Give your answer accurate to four decimal places.
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