Apps. and Interpretation for IBDP Maths Ebook 1 | Page 216

Your Practice Set – Applications and Interpretation for IBDP Mathematics
SUMMARY POINTs
�
�
Trapezoidal Rule:
a , b ( a
� b): End points
n : Number of intervals
b�
a
h � : Interval width
n
b
� can be estimated by h� f ( x0 ) � f ( xn) � 2( f ( x1 ) � f ( x2) � � f ( xn
� 1))
�
f ( x )d x
a
Estimation by Trapezoidal Rule:
1
2
1. The estimation overestimates if the estimated value is greater than the
b
actual value of � f ( x )d x
a
2. The estimation underestimates if the estimated value is less than the
b
actual value of � f ( x )d x
a
Solutions of Chapter 16
206
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