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sin8xcos8x12sin2xcos2xdx is equal to 

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a
12sin2x+C
b
−12sin2x+C
c
−12sinx+C
d
−sin2x+C

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detailed solution

Correct option is B

∫sin8⁡x−cos8⁡x1−2sin2⁡xcos2⁡xdx=∫sin2⁡x−cos2⁡xsin2⁡x+cos2⁡xsin4⁡x+cos4⁡x1−2sin2⁡xcos2⁡x    =∫sin2⁡x−cos2⁡x1−2sin2⁡xcos2⁡x1−2sin2⁡xcos2⁡xdx=∫-cos 2x dx =-sin 2x +c


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