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Partial derivative + Integration

  1. Feb 1, 2010 #1
    1. The problem statement, all variables and given/known data

    Part 1: I am trying to compute the partial derivative of exp (-ikx - ax^2) with respect to x

    Part 2: i am trying to integrate, int (-ik - 2ax)*exp(-2ax^2) dx, with limits infinity and
    - infinity

    2. Relevant equations

    part 1: see solution

    part 2: i think integral of exp(-x^2)= sqrt(pi) should be used here.

    3. The attempt at a solution

    part 1: I worked out the partial derivative. I am not sure if its right.
    (-ik - 2ax)*exp(-ikx - ax^2)

    part 2: should i use integration by parts here. I dont know how to manipulate the expression.
    can you multiply the power of an exponential [i.e.-2ax^2] in exp(-2ax^2) by 1/2a.

    Thanks for your time.
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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