Apps. and Interpretation for IBDP Maths Ebook 1 | Page 227

It is given that the exact value of
5
6
� f ( x )dx
is 5.2.
(c)
State whether the estimate in (b) overestimates or underestimates
5
6
� f ( x )dx
.
[1]
4. The following table shows the functional values of f( x) � 0.25 x from x � 0.3 to x � 0.6 :
x 0.3 a 0.4 0.45 0.5 0.55 0.6
f( x )
0.3
0.25 0.25 a 0.25
0.4
(a) Write down the exact values of a and b .
(b)
Find an estimate of
0.6
� f ( x )dx
.
0.3
It is given that the exact value of
0.6
0.3
0.45
0.55
0.25 b 0.25
� f ( x )dx
is 0.1619271347.
0.6
0.25
[2]
[3]
16
(c)
State whether the estimate in (b) overestimates or underestimates
0.6
� f ( x )dx
.
0.3
[1]
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