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Q.∫sin⁡x+cos⁡x1+sin⁡2x dx\int \dfrac{\sin x + \cos x}{\sqrt{1 + \sin 2x}} \, dx equals

a
1+sin⁡2x+C\sqrt{1 + \sin 2x} + C
b
21+sin⁡2x+C2 \sqrt{1 + \sin 2x} + C
c
log⁡∣1+sin⁡2x∣+C\log|1 + \sin 2x| + C
d
sin⁡x+cos⁡x+C\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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