∫$$sin$$⁡x⋅$$cos$$⁡x⋅$$cos$$⁡$$2x$$⋅$$cos$$⁡$$4x$$⋅$$cos$$⁡$$8xdx$$ is equal to

Correct option is 2−1256cos⁡16x+C

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$\int \sin x \cdot \cos x \cdot \cos 2 x \cdot \cos 4 x \cdot \cos 8 x d x is equal to$

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−196cos⁡16x+C

−1256cos⁡16x+C

−116cos⁡16x+C

None of these

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detailed solution

Correct option is B

I=∫sin⁡x⋅cos⁡x⋅cos⁡2x⋅cos⁡4x⋅cos⁡8xdx=12∫sin⁡2x⋅cos⁡2x⋅cos⁡4x⋅cos⁡8xdx=14∫sin⁡4x⋅cos⁡4x⋅cos⁡8xdx=18∫sin⁡8x⋅cos⁡8xdx=116∫sin⁡16xdx=−1256cos⁡16x+C

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∫sin⁡x⋅cos⁡x⋅cos⁡2x⋅cos⁡4x⋅cos⁡8xdx is equal to

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$\int \sin x \cdot \cos x \cdot \cos 2 x \cdot \cos 4 x \cdot \cos 8 x d x is equal to$