Question
Asked Oct 18, 2019
3
Estimate
e2* sin(x) dx
1 using the Trapezoidal Rule with n =
1,2,4 and 8 segments
2) using Romberg Integration and the results of part 1
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3 Estimate e2* sin(x) dx 1 using the Trapezoidal Rule with n = 1,2,4 and 8 segments 2) using Romberg Integration and the results of part 1

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Step 1

Hey, since there are multiple subparts posted, we will answer the first questions. If you want any specific question to be answered, then please submit that question only or specify the question number in your message

Step 2

Given a function

e2x sin(x)
To estimate integral using trapezoidal rule
3
e2x sin(x)dx
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e2x sin(x) To estimate integral using trapezoidal rule 3 e2x sin(x)dx

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Step 3

Note:

...
TRAPEZOIDAL RULE:
Let f be continuous on the interval [a, bj. Then the Trapezoidal
Rule for approximating the definite integral f(x) dx is
f(a) da
f(o)2(x1)+ ... + 2f (Xn 1) + f (xn)]
2n
a
b-а
Where Ar = Xi - Ii-1 =
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TRAPEZOIDAL RULE: Let f be continuous on the interval [a, bj. Then the Trapezoidal Rule for approximating the definite integral f(x) dx is f(a) da f(o)2(x1)+ ... + 2f (Xn 1) + f (xn)] 2n a b-а Where Ar = Xi - Ii-1 =

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Math

Calculus