Analysis and Approaches for IBDP Maths Ebook 1 | Seite 188

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Chapter
15
Integration
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
n �1
n
n�1
� x dx � x �C
( �( ) �( ))d ( ) ( )
�
p x � q x x � p x � q x �C
� cos xdx � sin x �C
cp�( x)d x �cp( x)
�C
sin xdx � �
b
� cos x � C
f � ( x )d x � � f b
( x ) � � f ( b ) � f ( a )
a a
1
cos x
� dx �tan
x �C
Integration by substitution
2
�
x x
e dx �e �C
�
�
�
1 dx � ln x � C
x
Solutions of Chapter 15
180
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