Question

$$\displaystyle\int{ \frac{ 2+ \sin 2x }{ 1+ \cos 2x } }d x$$

Evaluate

$-\frac{\ln(\left(\cos(x)\right)^{2})}{2}+\tan(x)+С$

Differentiate w.r.t. x

$\frac{\sin(2x)+2}{2\left(\cos(x)\right)^{2}}$