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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
Let f(x)=tan⁡xsin⁡xcos⁡xf(x)=\frac{\sqrt{\tan x}}{\sin x \cos x} and F(x)F(x) is its antiderivative, if F(π/4)=6F(\pi / 4)=6 then F(x)F(x) is equal to
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Correct option: C
2(tan⁡x+2)2(\sqrt{\tan x}+2)
Option C (2(1+tan⁡x+2)2(\sqrt{{1+\tan x}}+2)) is correct because it represents the antiderivative of the given function with the correct constant of integration.

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