Integral Calculus Question 195

Question: $ \int_{{}}^{{}}{\frac{\cot x}{\log \sin x}}\ dx= $

[MNR 1974]

Options:

A) $ \log (\log \sin x)+c $

B) $ \log (\log cosec,x)+c $

C) $ 2\log (\log \sin x)+c $

D) None of these

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Answer:

Correct Answer: A

Solution:

Put $ \log \sin x=t $ .