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

a
12log⁡∣sin⁡2x∣+C\dfrac{1}{2} \log|\sin 2x| + C
b
log⁡∣sin⁡2x∣+C\log|\sin 2x| + C
c
12log⁡∣cos⁡2x∣+C\dfrac{1}{2} \log|\cos 2x| + C
d
12(sin⁡x+cos⁡x)+C\dfrac{1}{2} (\sin x + \cos 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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