The trapez rule is an approximation method to find approximate value (T,, neN) of an definite integral [f(x)dx as follows: 1) h T, Here, a = x, x = X, +k - h, k =1,2,...,n, b-a h =- Use Trapez rule to find approximate value of In(2) = | 2x -dx and fill the blanks in 1+x? the Table below. (Note: Use a calculator and get 6 significiant digits after decimal point.) Absolute Relative Absolute True Approximate Approximate Error T, Error Error E, = In(2)– T|| x100% 4 6 8 2. 00
The trapez rule is an approximation method to find approximate value (T,, neN) of an definite integral [f(x)dx as follows: 1) h T, Here, a = x, x = X, +k - h, k =1,2,...,n, b-a h =- Use Trapez rule to find approximate value of In(2) = | 2x -dx and fill the blanks in 1+x? the Table below. (Note: Use a calculator and get 6 significiant digits after decimal point.) Absolute Relative Absolute True Approximate Approximate Error T, Error Error E, = In(2)– T|| x100% 4 6 8 2. 00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The trapez rule is an approximation method to find approximate value
(T, nɛN) of an definite integral (f (x)dx as follows:
1)
h
T.
(S(x,)+2f(x)+2f(x,) +…· +2f(x,) + f(&
- f(x,))= [f(x)dx.
Here, a = x,, x = x, +k - h, k = 1,2,...,n,
b-a
h =
Use Trapez rule to find approximate value of In(2) = |
2x
-dx and fill the blanks in
1+x
the Table below.
(Note: Use a calculator and get 6 significiant digits after decimal point.)
Absolute
Relative
Absolute True
Approximate Approximate Error
T,
Error
Error
E, = In(2)–T,|
E, =
I×100%
rnew
4
6
8
2.
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