Use the provided Simpson's 3/8 integration template to calculate the integral: I= f (x² + x + 1) cos(x)dx 1-70² The relative error is defined by I exact I ε = I exact Calculate the integral with the relative error & less than 10-8. Enter your answer below with precision of 10 digits after the decimal point: I = What is the minumum number of terms (n) required to achieve such accuracy? Enter your answer below: n= Hint 1: you may use matlab function vpa() to display the result with a desired accuracy Hint 2: note, that Simpson's 3/8 rule requires n to be a multiple of 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the provided Simpson's 3/8 integration template to calculate the integral:
I = f (x² + x + 1) cos(x)dx
-70² +
0
The relative error is defined by
Texact - I
Jexact
Calculate the integral with the relative error & less than 10-8. Enter your answer below with precision of 10 digits after the decimal point:
ε =
I =
What is the minumum number of terms (n) required to achieve such accuracy? Enter your answer below:
n =
Hint 1: you may use matlab function vpa() to display the result with a desired accuracy
Hint 2: note, that Simpson's 3/8 rule requires n to be a multiple of 3.
Transcribed Image Text:Use the provided Simpson's 3/8 integration template to calculate the integral: I = f (x² + x + 1) cos(x)dx -70² + 0 The relative error is defined by Texact - I Jexact Calculate the integral with the relative error & less than 10-8. Enter your answer below with precision of 10 digits after the decimal point: ε = I = What is the minumum number of terms (n) required to achieve such accuracy? Enter your answer below: n = Hint 1: you may use matlab function vpa() to display the result with a desired accuracy Hint 2: note, that Simpson's 3/8 rule requires n to be a multiple of 3.
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