1. The problem statement, all variables and given/known data Integrate: (2x^2+1)e^x^2dx 2. Relevant equations 3. The attempt at a solution I don't even know where to start , I either got to do this by basic substitution or by parts. Basic substitution doesn't help for obvious reasons, so I thought I'd do it by parts, but that would get completely messed up based upon the e^x^2 not having any anti-derivative, so I'd need basic substitution to get rid of it. I thought of making: u = e^x^2 ln|u| = x^2 √ln|u| = x du = 2xe^x^2 dx Therefore, my equation would be: (2ln|u| + 1)/(2√[ln|u|]) du Then I thought about breaking that up: integrate: (2ln|u|)/(2√[ln|u|]) + 1/(2√[ln|u|]) Simplified to... (ln|u|)/(√[ln|u|]) + 1/(2√[ln|u|]) Annnndd... now I'm stuck again because that square root is basically the most evilest thing on the entire planet. It limits partial fractions, I can't exactly do trig substitution, and the fraction kills by parts.