I am trying to find a closed-form expression for the following integral:
Neither Maple nor Mathematica will give a ready answer.
If I put to 0, Maple gives me:
With Ei the exponential integral. This is Ok as far as it goes, but I need the integral for .
If I add to the function, Maple can no longer find the integral.
I tried taking the derivative of for clues, and that gives me , and the factor is not what I'm looking for; I need .
Any suggestions? Am I overlooking something obvious?