Analysis and Approaches for IBDP Maths Ebook 2 | Page 170

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Chapter
12
Integration
SUMMARY POINTs
�
�
Integration rules:
�
2
sec d �tan
x x x �C
�
�
2
cosec d � �cot
x x x � C
� sec x tan xdx � sec x �C
cosecx cot xdx � �cosecx � C
x
x a
1
� a dx � �C
� dx �arcsin
x �C
2
ln a
1�
x
1
� 2 d x � arctan x �C
1�
x
Integration by parts:
� �
1. udv �uv � vdu
b
b
2. � d �� � �
a
a �
u v uv v du
b
a
Solutions of Chapter 12
160
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