Formula
1. Weddle's Rule
`int y dx = (3h)/10 [(y_0+5y_1+y_2+6y_3+y_4+5y_5+y_6)+(y_6+5y_7+y_8+6y_9+y_10+5y_11+y_12)+...]`
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Examples
1. Find Solution using Weddle's rule
| x | f(x) |
| 7.47 | 1.93 |
| 7.48 | 1.95 |
| 7.49 | 1.98 |
| 7.50 | 2.01 |
| 7.51 | 2.03 |
| 7.52 | 2.06 |
| 7.53 | 2.09 |
Solution:
The value of table for `x` and `y`
| x | 7.47 | 7.48 | 7.49 | 7.5 | 7.51 | 7.52 | 7.53 |
|---|
| y | 1.93 | 1.95 | 1.98 | 2.01 | 2.03 | 2.06 | 2.09 |
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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 = (3xx0.01)/10 [1.93 + 5xx1.95 + 1.98 + 6xx2.01 + 2.03 + 5xx2.06 + 2.09]`
`int y dx = 0.1204`
Solution by Weddle's Rule is `0.1204`
2. Find Solution using Weddle's rule
| x | f(x) |
| 0 | 1 |
| 1 | 0.5 |
| 2 | 0.2 |
| 3 | 0.1 |
| 4 | 0.0588 |
| 5 | 0.0385 |
| 6 | 0.027 |
Solution:
The value of table for `x` and `y`
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|
| y | 1 | 0.5 | 0.2 | 0.1 | 0.0588 | 0.0385 | 0.027 |
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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 = 1.37349`
Solution by Weddle's Rule is `1.37349`
This material is intended as a summary. Use your textbook for detail explanation.
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