Question
In: Advanced Math
Part I: Numerical Integration Evaluate the following integrals: i. ∫4(1−?−4?3 +2?5)?? 0 ii. ∫3(?2??)?? 0 a)...
Part I: Numerical Integration
Evaluate the following integrals:
i. ∫4(1−?−4?3 +2?5)??
0
ii. ∫3(?2??)?? 0
a) Analytically
b) Multiple application of Trapezoidal rule n = 4. c)
Simpson’s 1/3 rule for n = 4.
d) Simpson’s 1/3 and Simpson’s 3/8 rule for n = 5. e)
Determine the true percent relative error.
Solutions
Expert Solution
Solution:-
Given that
a)
b)
n = 4, 
= 1300
c)
d)
= 1114.28992
e)
Error
Error in part (b) = 
Error in part c) = 
Error in part d) = 8.95659
So, percent relative error
part b 
17.61158 %
part c
0.96502%
part d
0.81031%
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Colby Messinger answered 3 years agoRelated Solutions
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23
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24
2
25
2
26
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28
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29
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30
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