The value of \( \int \frac{x^{2}+\cos ^{2} x}{1+x^{2}} \operatorname{cosec}^{2} x d x \) is equa...

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The value of \( \int \frac{x^{2}+\cos ^{2} x}{1+x^{2}} \operatorname{cosec}^{2} x d x \) is equal to:
\( \mathrm{P} \)
(A) \( \cot x-\cot ^{-1} x+C \)
(B) \( C-\cot x+\cot ^{-1} x \)
W
(C) \( -\tan ^{-1} x-\frac{\operatorname{cosec} x}{\sec x}+C \)
(D) \( \frac{1}{\tan ^{-1} x}-\cot x+C \)
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