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

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