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Can you help for this ?

  1. Mar 7, 2009 #1
    Find all continuous functions f(x) satisfying
    f(x)>1 and f(x) = x +(1 to x integral) [tex]\int[/tex] f(t).dt
    for all x
     
  2. jcsd
  3. Mar 7, 2009 #2
    Do you mean

    [tex]f(x) = x + \int_{1}^{x} f(t) dt[/tex]

    ???
     
  4. Mar 7, 2009 #3
    Hint: Show that f(x) has to be differentiable. Then differentiate both sides of the equation.
     
  5. Mar 8, 2009 #4
    So i did it but how can i provide the result by this way
     
  6. Mar 8, 2009 #5
    Yes i mean this integral
     
  7. Mar 8, 2009 #6
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