Solve this following


Mark $(\sqrt{)}$ against the correct answer in each of the following:

$\int \frac{\operatorname{cosec}^{2} x}{\left(1-\cot ^{2} x\right)} d x=?$

A. $\frac{1}{2} \log \left|\frac{1+\cot x}{1-\cot x}\right|+C$

B. $-\frac{1}{2} \log \left|\frac{1+\cot x}{1-\cot x}\right|+C$

C. $\frac{1}{2} \log \left|\frac{1-\cot x}{1+\cot x}\right|+C$

D. none of these


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