Integration - Integration of Power Functions

Integrate the following expressions with respect to \(x\):

1. \(\displaystyle\displaystyle \displaystyle\int \frac{1}{3x} \, \mathrm{d}x\)
2. \(\displaystyle\displaystyle \displaystyle\int \frac{5}{3x-1} \, \mathrm{d}x\)
3. \(\displaystyle\displaystyle \displaystyle\int \frac{3-(2x+1)^2}{(2x+1)^3} \, \mathrm{d}x\)
4. \(\displaystyle\displaystyle \displaystyle\int \frac{\sqrt{3-x}+5}{\sqrt{3-x}^{3}} \, \mathrm{d}x\)