GATE ME 2015 Set 2 — Question 39
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Engineering Mathematics → Numerical Methods → Trapezoidal & Simpson's Rules
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Question
The values of function at 5 discrete points are given below:
Using Trapezoidal rule with step size of 0.1, the value of is ________
| 0 | 0.1 | 0.2 | 0.3 | 0.4 | |
|---|---|---|---|---|---|
| 0 | 10 | 40 | 90 | 160 |
Correct answer
21.8 to 22.2
Solution
The Trapezoidal rule for numerical integration is:Given step size and the following values:
Substituting these into the formula:The calculated value is 22, which is within the range 21.8 to 22.2.
Substituting these into the formula:The calculated value is 22, which is within the range 21.8 to 22.2.
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