Analysis and Approaches for IBDP Maths Ebook 1 | Page 196

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Chapter
16
Applications of
Integration
SUMMARY POINTs
� Areas on x - y plane, between x� a and x� b:
b
1. � f ( x )d x : Area under the graph of f( x ) and above the x -axis
a
2. � b
� f ( x )d x : Area under the x -axis and above the graph of f( x )
a
b
3. � ( f ( x) � g( x))dx
: Area under the graph of f( x ) and above the graph of
a
gx ( )
�
Applications in kinematics:
1. at (): Acceleration with respect to the time t
2. v( t) � � a( t)dt
: Velocity
3. s( t) � � v( t)dt
: Displacement
4.
t2
d � � v( t) dt
: Total distance travelled between t 1
and t 2
t1
Solutions of Chapter 16
188
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