two integrals and a question about prime trinomials

[Alec Mihailovs]

----- Original Message ----- 
From: "Eric W. Weisstein" <eww at wolfram.com>
> 
> Integrate[Exp[-2x^2]Erf[x]^2,{x,0,Infinity}]

This one can be done in Maple, 

> int(exp(-2*x^2)*erf(x)^2,x=0..infinity);

                                         1/2
                             1/2        2
                            2    arctan(----)
                                         4
                        1/2 -----------------
                                    1/2
                                  Pi
Alec