JEE Math Practice Question

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

1. A.$${{21} \over 5}$$
2. B.$${{16} \over 5}$$
3. C.$${{7} \over 10}$$
4. D.$${{27} \over 10}$$