Using a trapezoidal sum with three equal subintervals, what is the approximation of for the data points ?
Answer and explanation
Correct answer: A.
- Step 1: Subinterval width: .
- Step 2: Trapezoidal formula: .
- Step 3: Substitute values: .
Answer
.
Why not the others: doubles all function values including endpoints; uses left Riemann sum; and uses right Riemann sum without averaging.
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