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.