I'm working on a take home exam in my Calculus 2 class. The exam is completely done except for one problem and I desperately need help. I've put so much time into this one problem that I'm ready to just miss it and take the hit. 1. The problem statement, all variables and given/known data Indefinite Integral ∫(e^x)*(arctan(x))dx 2. Relevant equations 3. The attempt at a solution I've tried using a couple different substitutions by parts. Using u = arctan(x) results in (e^x)*arctan(x) - ∫(e^x)/(x^2+1) dx I couldn't seem to progress any further on that integral either. Another attempt used x = tanθ which results in ∫arctan(ln(u))du Once again, I couldn't make any further progress with this integral. It seems as though the problem was written improperly, but I asked my professor and she said it is correct as written. I would greatly appreciate any and all help you can provide.