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cos2xcos2θcosxcosθdx is equal to 

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a
2(sin⁡x+xcos⁡θ)+C
b
2(sin⁡x-xcos⁡θ)+C
c
2(sin⁡x+2xcos⁡θ)+C
d
2(sin⁡x−2xcos⁡θ)+C

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detailed solution

Correct option is A

∫cos⁡2x−cos⁡2θcos⁡x−cos⁡θdθ=∫2cos2⁡x−1−2cos2⁡θ−1cos⁡x−cos⁡θdθ                                   =2∫cos2⁡x−cos2⁡θcos⁡x−cos⁡θdθ=2∫(cos⁡x+cos⁡θ)dθ=2sin⁡x+2xcos⁡θ+C


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