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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
If ∫cot⁡xsin⁡xcos⁡xdx=Acot⁡x+B\int \frac{\sqrt{\cot x}}{\sin x \cos x} d x=A \sqrt{\cot x}+B, then AA is equal to
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Correct option: D
−2-2
Option D (-2) is correct because after simplifying the integral and performing a u-substitution, the coefficient of cot⁡x\sqrt{\cot x} is -2.

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