If $$I=$$∫dxtan⁡xlog⁡cosec⁡x, then I equals

Correct option is 4None of these

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$If I = \int \frac{d x}{\tan x \log cosec x}, then I equals$

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log⁡|log⁡cosec⁡x|+C

log⁡|log⁡cos⁡x|+C

−log⁡|log⁡(cosec⁡x)|+C

None of these

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detailed solution

Correct option is D

I=−∫cot⁡xlog⁡sin⁡xdx Putting log⁡sin⁡x=t, we get I=−∫dtt=-log⁡|t|+c∴ I=-log∥log⁡sin⁡x∣+C

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If I=∫dxtan⁡xlog⁡cosec⁡x, then I equals

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$If I = \int \frac{d x}{\tan x \log cosec x}, then I equals$