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ACTIVITY 2

EXAMPLES OF THE TRAPEZIUM RULE

Image result for EXAMPLES OF AREA UNDER A CURVE BY TRAPEZIUM RULE

Image result for EXAMPLES OF AREA UNDER A CURVE BY TRAPEZIUM RULE

Example
Solution

a. Complete the table below for the values of y = 15 − x2

x
0
0.5
1
1.5
2
2.5
3
y
              

Substituting the x-values into y = 15 − x2

x
0
0.5
1
1.5
2
2.5
3
y
15
14.75
14
12.75
11
8.75
6

 
b. Use the Trapezium Rule and the table of values, to find the approximate area between the curve y = 15 − x2, the x-axis,the y-axis and x = 3.

The required area = Y12_The_Trapezium_Rule_05.gif (approximately)

The width of each trapezium is 0.5

Area = 0.5 x 0.5 x (15 + 6 + 2(14.75+14+12.75+11+8.75)

         = 35.875

The required area is 35.875 units2

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