Integration - Integration of Exponential Functions

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

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