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$\int \sin^{3} {xcos}^{3} xdx$ is equal to

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132−32cos⁡2x+16cos⁡6x+C

116−32cos⁡2x+16cos⁡6x+C

164−32cos⁡2x+16cos⁡6x+C

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Correct option is A

∫sin3⁡xcos3⁡xdx=18∫(2sin⁡xcos⁡x)3dx =18∫sin3⁡2xdx=18∫3sin⁡2x−sin⁡6x4dx =132∫(3sin⁡2x−sin⁡6x)dx =132−32cos⁡2x+16cos⁡6x+C

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∫sin3⁡xcos3⁡xdx is equal to

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$\int \sin^{3} {xcos}^{3} xdx$ is equal to