If $\int \Large\frac{dx}{\cos ^3 x \sqrt {2 \sin 2x}}$$=(\tan x)^A+C(\tan x)^B +k$ where k is a constant of integration, then $A+B+C$ equals :

Question

$\begin{array}{1 1} (1) \large\frac{21}{5} \\ (2) \large\frac{16}{5} \\ (3) \large\frac{7 }{10} \\ (4) \large\frac{27}{10} \end{array} $