# Trapezium rule

_{0}+ y

_{n}+ 2(y

_{1}+ y

_{2}+ ... + y

_{n-1}))

h ⇒ interval between the x values (height of the trapeziums)

y ⇒ the y value at the end of each strip

The trapezium rule takes advantage of the are of a trapezium formula:

## Trapezium rule Examples

Find the area between the x-axis and the curve y = x^{2} + 2 between x = 1 and x = 5 using the trapezium rule with 4 strips./

x | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|

y | 3 | 6 | 11 | 18 | 27 |

_{0}+ y

_{4}+ 2(y

_{1}+ y

_{2}+ y

_{3}))

**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**

^{2}+ 2 is

**50 square units**

wow, this is great and easie

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Thanks, I am glad you found it easy. I have just added a few missing details that I forgot to add. I hope you understood everything.

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this ti the first time i come across Trapezium unfortunately i still do not understand the process

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Thank u.. Finally I got the trapezium rule.. The explanation was straight to the point..

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