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Q.∫x+sin⁡x1+cos⁡x dx\int \dfrac{x + \sin x}{1 + \cos x} \, dx equals

a
x+tan⁡(x/2)+Cx + \tan(x/2) + C
b
tan⁡(x/2)+C\tan(x/2) + C
c
log⁡∣1+cos⁡x∣+C\log|1 + \cos x| + C
d
x+log⁡∣1+cos⁡x∣+Cx + \log|1 + \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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