- #1
galuoises
- 8
- 0
I have the integral
[itex]\int_{-\infty}^{\infty}dx \int_{-\infty}^{\infty}dy e^{-\xi \vert x-y\vert}e^{-x^2}e^{-y^2}[/itex]
where [itex]\xi[/itex] is a constant. I would like to transform by some change of variables in the form
[itex]\int_{-\infty}^{\infty}dx F(x) \int_{-\infty}^{\infty}dy G(y)[/itex]
the problem is that due to absolute value in the integral one must take in account where x is greater or less than y,
can someone help me, please?
[itex]\int_{-\infty}^{\infty}dx \int_{-\infty}^{\infty}dy e^{-\xi \vert x-y\vert}e^{-x^2}e^{-y^2}[/itex]
where [itex]\xi[/itex] is a constant. I would like to transform by some change of variables in the form
[itex]\int_{-\infty}^{\infty}dx F(x) \int_{-\infty}^{\infty}dy G(y)[/itex]
the problem is that due to absolute value in the integral one must take in account where x is greater or less than y,
can someone help me, please?