Integration - Integrable Forms of Trigonometric Functions

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

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