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

a
log⁡∣sin⁡x+cos⁡x∣+C\log|\sin x + \cos x| + C
b
2log⁡∣sin⁡x+cos⁡x∣+C2 \log|\sin x + \cos x| + C
c
sin⁡x−cos⁡x+C\sin x - \cos x + C
d
tan⁡(x/2)+C\tan(x/2) + 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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