Integration - Integrable Forms of Trigonometric Functions

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

1. \(\displaystyle\displaystyle \displaystyle\int 4\cos{(3x+1)}+7\sec^2{(2x-1)}\, \mathrm{d}x\)
2. \(\displaystyle\displaystyle \displaystyle\int \sin{(5-2x)}-3\sec^2{(6x+2)}\, \mathrm{d}x\)
3. \(\displaystyle\displaystyle \displaystyle\int 10\sec^2{5x}+2\sin{(4x-3)}\, \mathrm{d}x\)
4. \(\displaystyle\displaystyle \displaystyle\int \sin{(3x+2)}+\sec^2{(7x-4)}-6\cos{2x}\, \mathrm{d}x\)