QUESTION

Example


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.


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.

= 50 square units
The answer for the area between the curve of y = x2 + 2 is 50 square units #






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