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Intergrating a derivative of absolute value in exponential

  1. Oct 6, 2011 #1
    hey~ folks!

    i'm in trouble with this integral problem.

    the range of the integral is from -∞ to ∞ and it has x as independent value.

    and the integrand is a derivative of absolute value in exponential;

    ∫[itex]^{∞}_{-∞}[/itex] (d/dx e[itex]^{-a|x|}[/itex])dx

    any idea for the problem??
     
    Last edited: Oct 6, 2011
  2. jcsd
  3. Oct 6, 2011 #2

    Hootenanny

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    Welcome to Physics Forums.

    What is the definition of the absolute value function? Can you think of a way to re-write the integrand without the absolute value sign?
     
  4. Oct 6, 2011 #3
    Use a technique like one might use when integrating other piecewise functions; that integral can be expressed as the sum of two definite integrals.
     
  5. Oct 7, 2011 #4

    SammyS

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    Is the constant, α, positive ?
     
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