[Maxima] integrate(exp(-a*p -b * p^2 - c * p^4),p,-inf,inf) ?

[dlakelan]

dlakelan wrote:
...
> However, I can't get maxima to calculate the partition function. 
> mathematica online will calculate (for example)
> 
> integrate(exp(-a*p^2 -b*p^4),p,-inf,inf);
> 
> in terms of bessel functions but maxima will not.
....
> ---- my exact maxima code follows ----

There were some obvious errors in that maxima code, for example the 
energy constraints were wrong. If I modify them I get an integral with 
respect to p that looks like the one in the subject line.

Is there any trick anyone can think of to help maxima be able to do this 
integral?