Mathematica: Evaluating integral

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SUMMARY

The forum discussion centers on the challenges of evaluating a specific integral using Mathematica. The integral in question, represented as Integrate[(vZ*Erf[vZ]^2)/E^vZ^2, {vZ, 0, Infinity}], does not yield a closed form solution, even after successfully computing the inner integrals. Users confirm that the lack of a closed form is expected, indicating that the original problem likely does not have a closed form solution either.

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This discussion is beneficial for mathematicians, students, and researchers who are working with complex integrals in Mathematica, particularly those encountering difficulties in obtaining closed form solutions.

Niles
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Hi

I need some assistance with the attached integral. I have tried performing it in Mathematica, but it doesn't give me the result in closed form. It just shows the integral.

I have attached my notebook if someone wants to test it out. I would be very happy to receive some feedback as I have spent many hours trying to make this work.


Niles.
 

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It has successfully done the two inner integrals and fails on the final integral.

If I have not made a mistake then a substantially simplified version of your third integral is

Integrate[(vZ*Erf[vZ]^2)/E^vZ^2, {vZ, 0, Infinity}]

and there does not appear to be a closed form solution to that so I do not expect your actual problem has one either.
 
Last edited:
Thanks, I believe you are right.Niles.
 

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