Home > Numerical methods calculators > Numerical Integration using Weddle's Rule example

5. Weddle's rule (Numerical integration) example ( Enter your problem )
  1. Formula & Example-1 (table data)
  2. Example-2 (table data)
  3. Example-3 (table data)
  4. Example-4 (`f(x)=1/x`)
  5. Example-5 (`f(x)=1/(x+1)`)
  6. Example-6 (`1/(x+1)^2`)
  7. Example-7 (`1/(x+1)`)
Other related methods
  1. Trapezoidal rule
  2. Simpson's 1/3 rule
  3. Simpson's 3/8 rule
  4. Boole's rule
  5. Weddle's rule

1. Formula & Example-1 (table data)
(Previous example)
3. Example-3 (table data)
(Next example)

2. Example-2 (table data)





2. Find Solution using Weddle's rule
xf(x)
01
10.5
20.2
30.1
40.0588
50.0385
60.027


Solution:
The value of table for `x` and `y`

x0123456
y10.50.20.10.05880.03850.027

Method-1:
Using Weddle's Rule
`int y dx=(3h)/10 [(y_0+5y_1+y_2+6y_3+y_4+5y_5+y_6)]`

`int y dx=(3xx1)/10 [(1 + 5xx0.5 + 0.2 + 6xx0.1 + 0.0588 + 5xx0.0385 + 0.027)]`

`int y dx=(3xx1)/10 [4.5783]`

`int y dx=1.3735`

Solution by Weddle's Rule is `1.3735`



Method-2:
Using Weddle's Rule
`int y dx=(3h)/10 [(y_0+5y_1+y_2+6y_3+y_4+5y_5+y_6)]`

`y_0=1`

`5y_1=5*0.5=2.5`

`y_2=0.2`

`6y_3=6*0.1=0.6`

`y_4=0.0588`

`5y_5=5*0.0385=0.1925`

`y_6=0.027`

`int y dx=(3xx1)/10*[(1+2.5+0.2+0.6+0.05880.1925+0.027)]`

`int y dx=(3xx1)/10*(4.5783)`

`int y dx=1.3735`

Solution by Weddle's Rule is `1.3735`




This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here



1. Formula & Example-1 (table data)
(Previous example)
3. Example-3 (table data)
(Next example)





Share this solution or page with your friends.
 
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.