Question

$$\frac { d x } { \cos x - \cos x + 2 \sin ( x ) + \frac { x } { x } }$$

Evaluate

$\frac{dx}{2\sin(x)+1}$

Differentiate w.r.t. x

$\frac{d\left(-2x\cos(x)+2\sin(x)+1\right)}{\left(2\sin(x)+1\right)^{2}}$