Question

How do you find `int x^2*secxdx`?

Answer 1

You don't by elementary methods.

Explanation:

Wolfram Alpha gives an answer involving `ln(1-ie^(ix))`, `ln(1+ie^(ix))`, and 4 terms involving the polylogarithmic function.

http://www.wolframalpha.com/input/?i=int+x%5E2+secx+dx