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Conceptual integral shift/translation.

  1. Sep 3, 2009 #1
    1. The problem statement, all variables and given/known data
    Given that the integral of g(u)du on the interval [0.2] is 12, what is g(2-u)du on the interval [0,2]


    2. Relevant equations
    f on [a,b] is F(b) - F(a).


    3. The attempt at a solution
    Switching from positive to negative t flips the limits to [2,0]. This would yield -12 instead of 12. F(2) on 0,2 would just be 4. The answer of -8, however is not correct. Have I violated order of operations or am I missing a concept?
     
  2. jcsd
  3. Sep 3, 2009 #2

    tiny-tim

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    Welcome to PF!

    Hi CandyApples! Welcome to PF! :smile:

    (have an integral: ∫ :wink:)
    I'm not sure what you've done. :confused:

    Put v = 2 - u, and rewrite du and the limits …

    what do you get? :smile:
     
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