Integration - Integration of Exponential Functions

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

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