
Can someone solve this improper integral?
Posted:
Jun 30, 2014 2:01 PM


Hi, I'm trying to solve the integral:
integral( exp( a*x^4+4*b*x^3*y+6*c*x^2*y^2+4*d*x*y^3+e*y^4) ,x=infty..infty, y=infty..finty)
I tried on Wolfram alpha but it was too complicated for it.
I'm guessing it's going to be in the form 1/P(a,b,c,d,e)^(1/8) where P is a 4th degree polynomial in the coefficients of the quartic.
My guess is that P is the discriminant of the polynomial but that is just a guess.
Is there any good free software that can solve this? Can Mathematica or Maple solve this? Can you?
Thanks.

