Integrate : $\large\frac{1+ \cos 4x }{\cot x - \tan x }$$dx$

Question

\[\begin {array} {1 1} (a)\;-\frac{1}{8} \sin 4 x +c \\ (b)\;-\frac{1}{8} \cos 4x +c \\ (c)\;-\frac{1}{8}+ \cos 4x +c \\ (d)\;None \end {array}\]