I have been trying to get Mathematica to integrate the function:
integral from 0 to infinity of t*a*exp(-(a*t)) dt
This funtion clearly converges, and working the integral out by hand it comes to
However when I enter the integral into Mathematica it simply returns the input as if it cannot perform the integral. While playing around I eventually receieved a message from Mathematica claiming the integral of t does not converge. Could somebody please explain to me how I need to input this Integral to obtain the correct result, as the t*a*exp(-t*a) clearly does converge?
Any suggestions would be appreciated
I would like to apologise for my poor formatting, this is my first attempt at posting in this forum.
I am a very new user to Mathematica