I asked wolfram alpha to compute the antiderivative of the function $x^x$. It gave me some really large confusing polynomial-esque thing called a puiseux series. However, from what I can gather on the internet, the puiseux series is used to approximate points on a function. So what is the puiseux series and what does it have to do with integration? Also could you please explain it so that it would be understandable by someone who's highest mathematics taken was calculus BC.