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> restart:
> Pdef:=Int(
>         Int(
>           Int(
>             Int(
>               Int(
>                 Int(
>                   Heaviside(x1+2*x2+2*x3+x4-5*x5-5*x6+
>                            
> 1/1000*(sin(100*x1)+sin(100*x2)+sin(100*x3)+sin(100*x4)+sin(100*x5)+si
> n(100*x6)))*
>                             1/sqrt(2*Pi)*exp(-(x1^2)/(2*sigma1^2)),
>                 x1=0..infinity),
>               x2=0..infinity),
>             x3=0..infinity),
>           x4=0..infinity),
>         x5=0..infinity),
>       x6=0..infinity);

             infinity    infinity    infinity    infinity    infinity
            /           /           /           /           /
           |           |           |           |           |
  Pdef :=  |           |           |           |           |
           |           |           |           |           |
          /           /           /           /           /
            0           0           0           0           0

           infinity
          /
         |
         |          1/2 Heaviside(x1 + 2 x2 + 2 x3 + x4 - 5 x5 - 5 x6
         |
        /
          0

         + 1/1000 sin(100 x1) + 1/1000 sin(100 x2)

         + 1/1000 sin(100 x3) + 1/1000 sin(100 x4)

                                                     1/2
         + 1/1000 sin(100 x5) + 1/1000 sin(100 x6)) 2

                   2
                 x1        /   1/2
        exp(- ---------)  /  Pi    dx1 dx2 dx3 dx4 dx5 dx6
                      2  /
              2 sigma1

>