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.

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 2 years ago

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