Hello. I was walking from home and thought to myself What would the integral of x^(x) dx be? And I momentarily thought [X^(x+1)] / (x+1) But that can't be it. lol Does anyone have an idea? Oh just in case you guys become frantic and mad about it and go like (This is a homework problem, think about it yourself a little bit more ), I assure, you, this isn't a homework problem so please chill and give me some ideas.