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Average value for a function over its entire domain

  1. Mar 24, 2012 #1
    As we know , the average value of a function gif.gif over gif.gif is : gif.gif

    i wanted to calculate the average value of a function over its entire domain ( e.g gif.gif )

    firstly, i divided the interval into 2 intervals gif.gif & gif.gif

    and calculated the F_avg for each ,,, is my way correct ? thanks !
     
  2. jcsd
  3. Mar 24, 2012 #2
    yes, then you'll need to average the two averages.
     
  4. Mar 25, 2012 #3
    ^

    thanks !

    but if we assumed t= infinity and take the limit so it'd be :

    gif.gif

    is it correct ? thanks again !
     
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