\int\frac{dx}{4sin^2x+3cos^2x} is equal to

Correct Answer is : 12√3tan−1(2tanx√3)+C

\sqrt3/4\tan^{-1}({2\tan x}/\sqrt3)+C

1/2\sqrt3\tan^{-1}({\tan x}/\sqrt3)+C

2/\sqrt3\tan^{-1}({2\tan x}/\sqrt3)+C

\sqrt3/2\tan^{-1}({\tan x}/\sqrt3)+C

1/2\sqrt3\tan^{-1}({2\tan x}/\sqrt3)+C

KEAM 2012 Math Paper

Question : 6 of 120

Marks: +1, -0

∫

4sin2x+3cos2x

is equal to

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