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$\int \cos 4 xcos 7 xdx$ is equal to

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sin⁡3x+sin⁡11x+C

sin⁡3x3+sin⁡11x11+C

sin⁡3x6+sin⁡11x22+C

None of these

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detailed solution

Correct option is C

Let ∫cos⁡4xcos⁡7xdxHere, cos⁡4xcos⁡7x=12(cos⁡3x+cos⁡11x)∴ l=∫cos⁡4xcos⁡7xdx=12∫(cos⁡3x+cos⁡11x)dx=12∫cos⁡3xdx+12∫cos⁡11xdx=sin⁡3x6+sin⁡11x22+C

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∫cos⁡4xcos⁡7xdx is equal to

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$\int \cos 4 xcos 7 xdx$ is equal to