If ∫ dx/(cos ³x√(2 sin 2x)) = (tan x)^(A) + C (tan x)^(B) + k, where k is a constant of integration, then A + B +C equals:

Integral Calculus: JEE Main 2016 Mathematics question

JEE Main 2016 · 9 Apr, Morning shift · Q4005

JEE Main 20169 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

\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 :

JEE Main 2016 · 9 Apr, Morning shift · Q4005

JEE Main 20169 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

\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 :