Indefinite Integrals

JEE Main 2016 · 9 Apr, Morning shift · Q4005

MathematicsMedium64×since 2004Q4005

\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

MathematicsMedium64×since 2004Q4005

\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 :

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