∫dxcos⁡$$x+3sin$$⁡x is equal to

Correct option is 112log⁡tan⁡x2+π12+C

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$\int \frac{dx}{\cos x + \sqrt{3} \sin x}$ is equal to

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12log⁡tan⁡x2+π12+C

12log⁡tan⁡x2−π12+C

log⁡tan⁡x2+π12+C

log⁡tan⁡x2−π12+C

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detailed solution

Correct option is A

Now,∫dxcos⁡x+3sin⁡x=∫dx212cos⁡x+32sin⁡x=12∫sec⁡x−π3dx=12log⁡tan⁡x2−π6+π4+C=12log⁡tan⁡x2+π12+C

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∫dxcos⁡x+3sin⁡x is equal to

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$\int \frac{dx}{\cos x + \sqrt{3} \sin x}$ is equal to