Let function be $f:[0,\frac{\pi}{4}]\rightarrow \mathbb{R} , f(x)=\tan^n(x), n\in\mathbb{N}$

So i want to calculate volume of what appears, when u rotate the function around x axis.

So i know the formula $V=\int\_{0}^{\frac{\pi}{4}}\pi f^2(x)dx$ but i don't know how to apply it because of $n$, or is it just using it that way and looking for different $n$?
Also should i be careful of how that function looks in the interval $[0,\frac{\pi}{4}]$?
Any help would be appreciated.