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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 8,594 of 10,432   
   Axel Vogt to paulandrewbird@gmail.com   
   Re: Can someone solve this improper inte   
   30 Jun 14 21:22:55   
   
   From: &noreply@axelvogt.de   
      
   On 30.06.2014 20:01, paulandrewbird@gmail.com wrote:   
   > 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'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.   
      
   what do you get and expect if integrand = exp(+-x^2*y^2) ?   
      
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