1. The problem statement, all variables and given/known data Hi, I'm doing a variation of parameters problem for my differential equations class. It requires solving the integral: ∫ex t-2 dt I am sure my professor did not give me an impossible integral and that there is some algebraic "trick" to solving it, but despite going through several iterations of integration by parts I am unable to find it (I have encountered similar problems before but my memory of them is fuzzy). 2. Relevant equations None 3. The attempt at a solution Several Integration by parts attempts. I looked for a cancellation.