Analysis and Approaches for IBDP Maths Ebook 2 | Page 182

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 55
1. Consider the graph of
f ( x) cosec
2
� � �x
, where ( ) 0
region enclosed by the graph of f , the x -axis, the lines
of R .
f x � for 0�x
� 1. Let R be the
1
x � and
6
1
x � . Find the area
2
[6]
2. Consider the graph of f ( x) � ln x , where f( x) � 0 for x � 1. Let R be the region
4
enclosed by the graph of f , the x -axis and the line x� e . Find the area of R .
[6]
3. Consider the graph of
f ( x) 2xcot x cosecx
2 2
� , where ( ) 0
enclosed by the graph of f , the x -axis, the lines
k � 0 . Find the value of k .
f x � for 0 �x � � . The region
� �
x � and x � is 2�
2, where
6 k
x
4. Consider the graph of f ( x)
� xe , where f( x) � 0 for 0 �x
� 10 . The region enclosed by
the graph of f , the x -axis, the lines x
the value of k .
� k and x � 2 is
e 2 (2e� 1) , k � 2 , k � . Find
[7]
[6]
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