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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫cosec⁡2x1+cot⁡xdx=\int \frac{\operatorname{cosec}^2 x}{1+\cot x} d x=
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Correct option: B
−log⁡(1+cot⁡x)+c-\log (1+\cot x)+c
Option B (log⁡(1+cot⁡x)+c\log (1+\cot x)+c) is correct because substituting t=1+cot⁡xt = 1 + \cot x leads to a simple logarithmic integral.

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