Analysis and Approaches for IBDP Maths Ebook 1 | Page 217

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Let A be the area of the region enclosed by the curves of f and g .
(a) Calculate the value of A .
(b)
(c)
Find the range of values of x for which the gradient of f is greater than the
gradient of g .
It is given that
2 8
� f � ( x )d x � , find a .
a
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[6]
[5]
[4]
3. The following diagram shows the graphs of
2
g( x) � x � 2 , for 0�x
� 6.
3
3 2
f ( x) � x �11x �38x
� 40 and
16
Let A be the total area of the regions enclosed by the curves of f and g .
(a) Calculate the value of A .
Let hx ( ) be another function and k( x) � f ( x) � h( x)
.
[8]
(b)
It is given that
6 6
� f �( x) h( x)dx �16 �� f ( x) h�( x)dx
, find h (6) .
2 2
[6]
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