1. The problem statement, all variables and given/known data The integral of 1/(1+x^6) dx 3. The attempt at a solution This problem was given as a "challenge/bonus problem" on the first day of Calc 2, earlier today. Considering we were going over trig substitutions, I suppose there is probably some trig trick to it. Doing it by parts isn't helping... I just get a longer more messy expression to integrate. I also tried a u substitution. I set u = x^(3) to make the integral seem like I could pull out an arctan, But I keep ending up only making the situation worse. I've typed in the expression into an online integral calculator so I know what the answer is, but I'm confused on how to go about tackling this problem. Any help would be greatly appreciated.