Integrate : $\int \sqrt {\tan x }+ \sqrt {\cot x }dx$

Question

$(a)\;\frac{1}{\sqrt 2} \tan^{-1} \bigg(\frac{\sqrt {\tan x}}{2}-\frac{1}{\sqrt {2 \tan x }}\bigg)+c \qquad(b)\;\tan ^{-1} (\sqrt {\tan x}+\sqrt {2 \tan x }) \qquad(c)\;x+\sqrt {2x}+c \qquad (d)\;None$