The 'Simpson''s one-third rule' for area computation requires the number of ordinates to be:
Choose the correct answer
Even number of ordinates
Odd number of ordinates (even number of equal intervals)
Any number without restriction
Multiple of 3 only
Correct Answer
B. Odd number of ordinates (even number of equal intervals)
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Simpson''s rule: A = (h/3) × (y0 + 4y1 + 2y2 + 4y3 + ... + yn) where h = interval between ordinates. Requires ODD number of ordinates (EVEN number of intervals). If even ordinates: use Simpson for (n−1) intervals and trapezoidal rule for last strip. More accurate than trapezoidal rule (3rd order polynomial fitting).
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