6th December 2019

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# What is the best definition of a trapezoid?

A 4-sided flat shape with straight sides that has a pair of opposite sides parallel. (Called a trapezium in the UK. Both US and UK definitions of trapezium and trapezoid are swapped over.) The sides that are parallel are called "bases". The other sides are "legs" (which may or may not be parallel).

Besides, is the trapezoidal rule more accurate than Simpson's rule?

The Trapezoid Rule is nothing more than the average of the left-hand and right-hand Riemann Sums. It provides a more accurate approximation of total change than either sum does alone. Simpson's Rule is a weighted average that results in an even more accurate approximation.

What is trapezium rule?

The trapezium rule is a way of estimating the area under a curve. We know that the area under a curve is given by integration, so the trapezium rule gives a method of estimating integrals. The trapezium rule works by splitting the area under a curve into a number of trapeziums, which we know the area of.