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Q.∫cos⁡xsin⁡2x−2sin⁡x+1 dx\int \dfrac{\cos x}{\sin^2 x - 2\sin x + 1} \, dx equals

a
log⁡∣sin⁡x−1∣+C\log|\sin x - 1| + C
b
log⁡∣tan⁡(x/2)−1∣+C\log|\tan(x/2) - 1| + C
c
log⁡∣sin⁡x+1∣+C\log|\sin x + 1| + C
d
tan⁡−1(sin⁡x−1)+C\tan^{-1}(\sin x - 1) + 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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