/
| 3
| 4 sin(3*x) sin (3*x)
| tan (3*x) dx = C + x - ---------- + -----------
| 3*cos(3*x) 3
/ 9*cos (3*x)
$$\int \tan^{4}{\left(3 x \right)}\, dx = C + x + \frac{\sin^{3}{\left(3 x \right)}}{9 \cos^{3}{\left(3 x \right)}} - \frac{\sin{\left(3 x \right)}}{3 \cos{\left(3 x \right)}}$$