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 :

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 :

${{21} \over 5}$

${{16} \over 5}$

${{7} \over 10}$

${{27} \over 10}$

Solution

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