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

a
sin⁡x+cos⁡x+ln⁡∣sin⁡x+cos⁡x∣+C\sin x + \cos x + \ln|\sin x + \cos x| + C
b
ln⁡∣sin⁡x+cos⁡x∣+C\ln|\sin x + \cos x| + C
c
x+sin⁡x+Cx + \sin x + C
d
sin⁡x+cos⁡x+C\sin x + \cos x + C

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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