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cos2xcosxdx is equal to 

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a
2sin⁡x+log⁡(sec⁡x−tan⁡x)+C
b
2sin⁡x−log⁡(sec⁡x−tan⁡x)+C
c
2sin⁡x+log⁡(sec⁡x+tan⁡x)+C
d
2sin⁡x−log⁡(sec⁡x+tan⁡x)+C

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detailed solution

Correct option is D

∫cos⁡2xcos⁡xdx=∫2cos⁡x−sec⁡xdx=2sin⁡x−log⁡(sec⁡x+tan⁡x)+C


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