Page 170 - Concise Encyclopedia of Robotics
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Integral
INTEGRAL
The term integral refers to the area under the curve of a mathematical
function. For example, displacement is the integral of speed or velocity,
which in turn is the integral of acceleration.
Figure 1 shows a generalized graph of speed as a function of time. The
curve of this function is a straight line.It might represent the steady increase
in speed of an accelerating mobile robot. While the speed constantly
increases, the displacement, indicated by the area under the curve, increases
at a faster rate.
Speed
Speed vs. Time
Displacement
at time
t
Time
t
Integral—Fig. 1
Amplitude
Integral
+
Time
_
Function
Integral—Fig. 2
