Apps. and Interpretation for IBDP Maths Ebook 1 | Page 215

Chapter
16
16
Integration and
Trapezoidal Rule
SUMMARY POINTs
� Integrals of a function y � f ( x)
:
1. � f ( x)dx
: Indefinite integral of f( x )
b
2. � f ( x )d x : Definite integral of f( x ) from a to b
a
�
Rules of integration:
1.
�
�
�
1
n �1
n
n�1
x dx � x �C
2. ( p�( x) � q�( x))d x � p( x) � q( x)
�C
3. cp�( x)d x �cp( x)
�C
b
� � f ( x )d x : Area under the graph of f( x ) and above the x -axis, between x�
a
a
and x
� b
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