Question

why midpoint rule is always more accurate than the trapezoidal rule ??​

Answer 1

Answer:

The Midpoint rule is always more accurate than the Trapezoid rule. ... For example, make a function which is linear except it has nar- row spikes at the midpoints of the subdivided intervals. Then the approx- imating rectangles for the midpoint rule will rise up to the level of the spikes, and be a huge overestimate.

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Answer 2

Answer:

(13) The Midpoint rule is always more accurate than the Trapezoid rule. ... For example, make a function which is linear except it has nar- row spikes at the midpoints of the subdivided intervals. Then the approx- imating rectangles for the midpoint rule will rise up to the level of the spikes, and be a huge overestimate.