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P. 30

1 
                                     x dx ,
                                      f x f  2
                              l
                                    (2.14) where one of the functions, for
                                              f
                                    example    x , expresses the internal
                                              1
                                    power factor of the  load unit and the
                                    second  function  f    x - from a given
                                                      2
                                    load.
                                                                       
                                           Let  the  area  of  feature  f x
                                                                     1
                                    has length  l  which varies linearly, but
                                     f    x   in  this  region  has  an  arbitrary
                                     2
                                    shape but does not change a sign (fig.
                                    2.6).
                                           Using  the  entry  line  law
                                     f    x   kx b ,       expression
                                     1
                                    (2.14)should be represented as
                                      f x f 2          kx b f x dx      
                                            x dx 
                                       1 
                                                                2
                 Figure 2.6          l                l
                                        
                                      k xf 2    x dx b f  2     x dx .
                                        l             l
                                f
                 Multiplication    x dx   d  is the differential area   of
                                 2
          the figure bounded by the graph of the function  f  ( )x  and the x-
                                                           2
          axis segment length. This area is    f 2     x dx .
                                               l
                 Integral     xd   S   x  is  static  moment  of  area  
                                    y
                                        c
                           l
          about  an  axis  у;  x –  center  of  gravity  of  the  considered  plane
                             c
          figures.
                  Thus, the expression (2.14) can be written as
                      x dx 
                 f x f 2        kx    b   kx    b    ,   (2.15)
                 1 
                                                 c
                                                            c
                                   c
               l
                           b
          where     kx    -  ordinate  of  the  graph  of  a  linear  function
                   c    c
           f    x , corresponding to the abscissa  x .
            1                                   c
                 Now the relation (2.13) can be written as:
                                         30
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