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FTC (e^-x^2)

  1. Nov 13, 2012 #1
    1. The problem statement, all variables and given/known data

    The function, p(x;y), of two variables is defined for x>y>0, and satisfies

    We furthermore know that dp(x,y)/dx = (e^-x^2)

    and that p(y; y) = 0


    2. Relevant equations

    I now need to write p(x,y) as a definite integral of the form int (f(t)dt, with lower bound t=H and upper bound x.


    3. The attempt at a solution

    I suppose I need the info p(y; y) = 0 to get the bounds, but not quite sure how. I sat earlier an evaluated the integral from 0 to inf and from -inf to inf, however I do not see how that could come in handy. I am thinking of treating the function as one of x alone as a start, but do not know how to proceed from there?
    Anyone can give me a hint :-) Th
     
  2. jcsd
  3. Nov 13, 2012 #2

    SammyS

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    Do you really mean x>y>0, or di you mean x>0 and y>0 ?

    Does p(x,y) satisfy something in addition to what's stated ?

    Check for any other typos you may have, so that your post is more readable.
     
  4. Nov 13, 2012 #3
    I meant satisfies "x ≥ y ≥ 0". Don't know where that went.

    Sorry for that. All the best

    Jonas
     
  5. Nov 13, 2012 #4

    haruspex

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    Still doesn't make sense. That's a change to the specified domain of p, not a property of p.
     
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