4. Transform the integral formula [[+++] f(0)+3f 1 8 so that it can be used for f(x)dx. 3
4. Transform the integral formula [[+++] f(0)+3f 1 8 so that it can be used for f(x)dx. 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
answer 4
![4. Transform the integral formula
2
[S0xdx = [(0) +35 (1) + 35 ( ²3 ) + 5]
3f
8
3
b
so that it can be used for f(x)dx.
(a) 1 x de
dx.
a
5. Show how the Newton-Cotes formula
1
2
| S(x) dx = ²(0) + ² / ( 1 ) + 1 sa
+=f(1)
6
3 2
can be used for f(x)dx. Apply this result to evaluate
(b)
sin t
dt.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa41a264b-8aa9-4f3c-9fa6-3aeb660fb004%2Fab3cda75-3996-4814-b93d-d7f847434968%2Ftyulf8k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Transform the integral formula
2
[S0xdx = [(0) +35 (1) + 35 ( ²3 ) + 5]
3f
8
3
b
so that it can be used for f(x)dx.
(a) 1 x de
dx.
a
5. Show how the Newton-Cotes formula
1
2
| S(x) dx = ²(0) + ² / ( 1 ) + 1 sa
+=f(1)
6
3 2
can be used for f(x)dx. Apply this result to evaluate
(b)
sin t
dt.
Expert Solution
Step 1
The given integral formula is-
It can be seen that,
The points of division are .
Therefore,
The number of sub-intervals are .
So,
Step by step
Solved in 2 steps
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