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Q.∫tan⁡x dx\int \sqrt{\tan x} \, dx equals

a
tan⁡x−ln⁡∣cos⁡x∣+C\sqrt{\tan x} - \ln|\cos x| + C
b
23(tan⁡x)3/2+C\dfrac{2}{3} (\tan x)^{3/2} + C
c
tan⁡x+ln⁡∣sin⁡x+cos⁡x∣+C\sqrt{\tan x} + \ln|\sin x + \cos x| + C
d
2(tan⁡x+sec⁡x)1/2+C2(\tan x + \sec x)^{1/2} + C

Correct Answer: Option C

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

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