Analysis and Approaches for IBDP Maths Ebook 2 | Page 252

Your Practice Set – Analysis and Approaches for IBDP Mathematics
(b)
a π π 1
� sin xx� d
0
8 4 4
�
Let u � x. A1
4
du
� 4
� � dx�
du
dx
4 �
�
x � a � u � a
4
x� 0� u�
0
�
a π 4 1
4
�� sinu� du�
A1
0
8 � 4
�
�
a
4
0
�
1 1
sin uu d �
2 4
�
a
1 4 1
� �
�
� cosu
�
2 �
� � 4
0
1 � � 1 � 1
� cos a ��� ��
2 4 � 2 � 4
� 1
cos a � 4 2
� �
a �
4 3
4
a � (A1) for correct value
3
b π π 3
� sin xx� d
0
8 4 4
� 1
cos b �� 4 2
� 2�
b �
4 3
8
b � (A1) for correct value
3
The interquartile range
8 4
� �
3 3
4
� A1
3
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