GATE CE 2021 Set 1 — Question 46
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Engineering Mathematics → Numerical Integration & ODEs → Simpson's Rule
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Question
The values of abscissa () and ordinate () of a curve are as follows:
By Simpson’s 1/3rd rule, the area under the curve (round off to two decimal places) is ___________
| 2.0 | 5.00 |
| 2.5 | 7.25 |
| 3.0 | 10.00 |
| 3.5 | 13.25 |
| 4.0 | 17.00 |
Correct answer
20 to 21
Solution
Using Simpson's 1/3rd rule:
Interval width,
Number of intervals, (even, so rule is applicable)
Ordinates: Area
The area under the curve is 20.67.
Interval width,
Number of intervals, (even, so rule is applicable)
Ordinates: Area
The area under the curve is 20.67.
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