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

a
tan⁡−1(sin⁡x)+C\tan^{-1}(\sin x) + C
b
sin⁡−1(tan⁡x)+C\sin^{-1}(\tan x) + C
c
tan⁡−1(tan⁡x)+C\tan^{-1}(\tan x) + C
d
log⁡∣1+sin⁡2x∣+C\log|1 + \sin^2 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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