Integration - Integration of Power Functions

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

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