Chapter
11
Integration and Trapezoidal Rule
SUMMARY POINTs
� Rules of integration :
� sin xdx � � cos x � C e x dx �e x �C
� cos xdx �sin x �C
1 cos x
�
�
1 dx � ln x � C x
� dx �tan x �C
Integration by substitution
2
� b
� f � ( x ) d x � f ( x ) � f ( b ) � f ( a ) a a
� Areas on x - y plane , between x� a and x� b: b 1 . � f ( x) dx : Area between the graph of f( x ) and the x -axis a b
2 . � f ( x) � g( x) dx : Area between the graph of f( x ) and the graph of a gx ( )
�
b
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