Apps. and Interpretation SL Practice Paper Book | Seite 50

13 . The following table shows the functional values of f( x)
� � �x from x � 0 to x � 0.5 :
x
0
0.1
0.2
0.3
0.4
0.5
f( x )
a
b
0.2
� �
�
�0 . 3
�
�0 . 4
�
�0 . 5
( a )
Write down the exact values of a and b .
( b )
Hence , use trapezoidal rule with 5 intervals to find an estimate of
0
0.5

� f ( x ) dx

.
It is given that the exact value of
0
0.5

� f ( x ) dx is 0.3807102635 .

( c ) State whether the estimate in ( b ) overestimates or underestimates
0.6

� f ( x ) dx .

0.3
[ 2 ]
[ 3 ]
[ 1 ]
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