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Q.∫tan⁡xsin⁡2x dx\int \dfrac{\sqrt{\tan x}}{ \sin 2x } \, dx equals

a
tan⁡x+C\sqrt{\tan x} + C
b
12tan⁡x+C\dfrac{1}{2} \sqrt{\tan x} + C
c
log⁡∣cos⁡x−sin⁡x∣+C\log|\cos x - \sin x| + C
d
tan⁡−1tan⁡x+C\tan^{-1} \sqrt{\tan x} + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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