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$\int \frac{\sqrt{\tan x}}{\sin x \cos x} d x is equal to$

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−2tanx+C

2tanx+C

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−2cotx+C

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detailed solution

Correct option is B

Let I=∫tan⁡xsin⁡xcos⁡xdx=∫tan⁡xtan⁡xcos2⁡xdxI=∫sec2xdxtanxdxlet tanx = tsec2⁡xdx=dtI=∫1tdt=2t+C=2tan⁡x+C

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∫tan⁡xsin⁡xcos⁡xdx is equal to

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$\int \frac{\sqrt{\tan x}}{\sin x \cos x} d x is equal to$