GATE ME 2015 Set 3 — Question 33
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Engineering Mathematics → Numerical Methods → Trapezoidal & Simpson's Rules
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Question
Using a unit step size, the value of integral by trapezoidal rule is ________
Correct answer
0.68 to 0.7
Solution
To evaluate the integral using the trapezoidal rule with a unit step size ():
1.Identify the function and interval:
on the interval .2.Determine the points:
With , the points are and .3.Calculate function values:
4.Apply the Trapezoidal Rule:
The calculated value is approximately 0.693, which falls within the range 0.68 to 0.70.Continue learning with Success Tracker
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