7) ∫(sec(x3)tan(x3))dx
\boxed{3\sec\left(\frac{x}{3}\right) + C}
Step 1 :Substitute u = x3, then du/dx = 13, and dx = 3du
Step 2 :Integrate with respect to u: 3∫(sec(u)tan(u))du=3sec(u)+C
Step 3 :Substitute back x3 for u: 3sec(x3)+C
Step 4 :\boxed{3\sec\left(\frac{x}{3}\right) + C}