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Simpson's one-third rule requires the number of subintervals to be

  • A.a multiple of three
  • B.any number at all
  • C.even
  • D.odd

Answer: C

The rule fits a parabola through each group of three consecutive ordinates, consuming two subintervals at a time, so the total must be even. The three-eighths rule fits a cubic through four ordinates and needs a multiple of three subintervals. Only the trapezoidal rule accepts any number

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