Integration - Integrable Forms of Trigonometric Functions

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

1. \(\displaystyle\displaystyle \displaystyle\int 9\cos{(4x-1)}-3\sec^2{(2x+5)}\, \mathrm{d}x\)
2. \(\displaystyle\displaystyle \displaystyle\int 2\sin{(6x+1)}+5\sec^2{(3x-2)}\, \mathrm{d}x\)
3. \(\displaystyle\displaystyle \displaystyle\int 7\sin{(2-5x)}+11\sec^2{(4x+3)}\, \mathrm{d}x\)
4. \(\displaystyle\displaystyle \displaystyle\int 4\cos{3x}+\sin{(2x-1)}-8\sec^2{5x}\, \mathrm{d}x\)