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

a
2sin⁡2x−sin⁡xcos⁡x+cos⁡2x+C2 \sqrt{\sin^2 x - \sin x \cos x + \cos^2 x} + C
b
sin⁡2x−sin⁡xcos⁡x+cos⁡2x+C\sqrt{\sin^2 x - \sin x \cos x + \cos^2 x} + C
c
log⁡∣sin⁡x+cos⁡x∣+C\log|\sin x + \cos 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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