CH2 Motion Along a Straight Line
 

Velocity and position by integration (»ı·Ö)
       differential (΢·Ö)
Within , the velocity gain in the ith strip is
Definition: We call F an antiderivative of ƒ on the interval I if for all x in I,    Antiderivative is not unique.
 
Basic properties of integration
Fundamental Theorem of Calculus: If f is a continuous function defined on a closed interval [a, b] and F is an antiderivative of f, then
Constant Rule:
Sum and Difference Rule:
Interval Addition Rule:
 
Integration¡ªExamples
Example:
Example:calculate    
Let u=x+2. Since du=dx, we have
 
Analysis of motion¡ªFigure 2.29
      
      
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