∫$$cos$$⁡eclog⁡xxdx is equal to

Correct option is 32logcoseclogx−cotlogx+C

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$\int \frac{\cos e c \log \sqrt{x}}{x} d x is equal to$

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−2logcoseclogx+cotlogx+C

2logcoseclogx+cotlogx+C

2logcoseclogx−cotlogx+C

−2logcoseclog−cotlogx+C

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detailed solution

Correct option is C

Let I=∫cos⁡eclog⁡xxdx Put log⁡x=y1dxx2x=dydxx=2dyI=2∫cos⁡ecydy=2log⁡|cosecy−cot⁡y|+CI=2log⁡|cosec⁡log⁡x−cot⁡log⁡x|+C

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∫cos⁡eclog⁡xxdx is equal to

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$\int \frac{\cos e c \log \sqrt{x}}{x} d x is equal to$