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Integral of Exponential function

  1. Mar 5, 2009 #1
    1. The problem statement, all variables and given/known data

    1. [tex]\int^{\infty}_{-\infty}e^{-ax^2 - bx^{\frac{5}{2}}}dx[/tex]

    2. [tex]\int^{\infty}_{-\infty}x^ne^{-ax^2 - bx^{\frac{5}{2}}}dx[/tex]

    (n is integer)

    2. Relevant equations

    Does anyone can give me the integral in the closed form or introduce any useful references?

    Thank you.
     
  2. jcsd
  3. Mar 5, 2009 #2
    Hi macauor, Welcome to PF!

    What is putting you off? Can you show us any workings out?

    The Bob
     
  4. Mar 5, 2009 #3
    Hello, The Bob
    Thank you for your warm welcome!
    I want to obtain the closed forms of the integration of the above two integrals.
    Do you have any suggestion about that?
     
  5. Mar 5, 2009 #4
    Last edited by a moderator: May 4, 2017
  6. Mar 6, 2009 #5
    Dear The Bob,

    It is really helpful.

    Thank you for your kindness.

    If I find the solution, I would like to share it on PF

    macauor
     
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