Trig subsitution integration problem

[jman2807]

I'm sure this problem is simple but I have been racking my brain for about an hour and I could use some help. We have to integrate the below using the substiution u = tan(x) and I'm sure that you have to use some sort of trig identities to integrate.
Thanks in advance

use u = tan(x) to integrate

tan(x)^2 * sec(x)^4

 

[stapel]

Hints: If u = tan(x), then tan²(x) = u² and du = sec²(x) dx. Also note that sec²(x) = 1 + tan²(x).

Eliz.

 

[jman2807]

Bah, I knew i was making it harder than it was. Thanks a lot.