Hello, I would be happy to learn why MATHEMATICA is unable to resolve analytically the following integral:
Integrate[Exp[-a/(t-tau)]/Sqrt[t-tau],{tau,0,t},Assumptions->{a>0}];
As far as I am aware, the integral exists and it is
2*Sqrt[t]*Exp[-a/t]-2*Sqrt[Pi*a]*Erfc[Sqrt[a/t]]
However MATHEMATICA concludes the integral does not converge. Is there any way to get the correct result?
Leslaw
