Integration - Integration of Exponential Functions

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

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