Integral of Exponential function

  • Thread starter macauor
  • Start date
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.
Hi macauor, Welcome to PF!

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

The Bob
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?
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


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