1. The problem statement, all variables and given/known data -∞∫∞ H(t)*e-2tdt 2. Relevant equations See above. 3. The attempt at a solution I know if I were just integrating H(t) by itself, I would get a ramp function. I also know e^-2t by itself will not converge for the given limits of +/- infinity. I just want to know what is going on when the two multiply together, and if integration by parts would serve me here (if it is even necessary?)? I have tried to evaluate it with my graphing calculator, and it seems to say the answer is 1/2, though I'm not sure how it has arrived there. Any help would be greatly appreciated!