Which of the following statement is correct?
I.Simpson's one-third rule assumes that the short lengths of boundary between the ordinates
are parabolic arc.
II.Mid-ordinate rule is based on the assumption that the figures are trapezoids.
Statement I is correct: Simpson's one-third rule assumes that the boundary between three
consecutive ordinates is a parabolic arc (a second-degree polynomial curve).
Statement II is incorrect: The assumption that the figures are trapezoids belongs to the
trapezoidal rule, where boundaries between ordinates are joined by straight lines. The mid
ordinate rule assumes that the area is divided into a series of rectangles with heights equal to
the mid-ordinates.
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