GATE ME 2014 Set 1 — Question 39
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Engineering Mathematics → Numerical Methods → Trapezoidal & Simpson's Rules
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Question
Using the trapezoidal rule, and dividing the interval of integration into three equal subintervals, the definite integral is _______
Correct answer
1.1 to 1.12
Solution
Step 1: Identify the interval and number of subintervals.
Interval , .Step 2: Calculate the step size .
Step 3: Determine the points and function values .
Step 4: Apply the trapezoidal rule formula.
The value is approximately 1.11.
Interval , .Step 2: Calculate the step size .
Step 3: Determine the points and function values .
Step 4: Apply the trapezoidal rule formula.
The value is approximately 1.11.
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