I think that we should have discussed here the question "Integral Representation of Infinite series" before it was closed. Students often have questions about such topics so the replies could have been very useful. Moreover, some of these topics deserve to be better known since they are quite powerful and have widespread application. Finally, I believe that it would have been very easy to reformulate the question to satisfy most of those who voted to close it. That said, why didn't you do the constructive thing and help reformulate the question rather than perform the destructive task of closing it?
I will volunteer to help reformulate it. Could some like-minded folks please add a few votes to reopen it.
EDIT I have added part of my extended answer to the question. Please read it here and hopefully you will be convinced to reopen. Thanks.