Hi guys, I have to teach a lesson on this tomorrow (trainee teacher, gulp!) and can't figure out this problem.

Integrate:

x^2sec^2xtanx.dx

I can't seem to figure out if there's a way to manipulate this to make integration by parts easier. Any ideas? Would making it x^2sec.secxtanx help at all given that secxtanx integrates to sec x?

Thanks in advance for any help.