The trapezium rule is a method of finding the approximate value of the value of an integral between certain limits. In other words the trapezium rule is a way of calculating the area under the curve on a graph. You must know that an integration gives the area under a curve on a graph. The following is the trapezium rule.
Trapezium rule Examples
Find the area between the x-axis and the curve y = x2 + 2 between x = 1 and x = 5 using the trapezium rule with 4 strips./Example
Explanation First let’s draw a table to find out the y values.
So now we can use the trapezium rule. The trapezium rule states that as above:
The h is the height of the trapeziums or very simply the intervals between the x values. In the above table we have x values ranging from: 1, 2, 3, 4, and 5 The distance between these values is 1
The answer for the area between the curve of y = x2 + 2 is 50 square units