Hello, I need to evaluate the following integral expression symbolically using Integrate:
-(Sqrt[Pi]*Integrate[E^u^2*(-4*Erf[u]+4*Erf[u]^2)*(Erfc[u]-(2*u*(E^(-u^2)-Sqrt[Pi]*u*Erfc[u]))/Sqrt[Pi]), {u, 0,Infinity}])/2
I have reasons to expect that the result of this integration is equal 4/Pi - 1, which can be verified numerically after replacing Integrate by NIntegrate. Unfortunately, Integrate seems unable to obtain this result symbolically. Is there any way to change this situation? Leslaw