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Q.

∫dxcos⁡x+3sin⁡x is equal to

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a

12log⁡tan⁡x2+π12+C

b

12log⁡tan⁡x2−π12+C

c

log⁡tan⁡x2+π12+C

d

log⁡tan⁡x2−π12+C

answer is A.

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Detailed Solution

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