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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫sec⁡x⋅cosec⁡x2cot⁡x−sec⁡xcosec⁡xdx\int \frac{\sec x \cdot \operatorname{cosec} x}{2 \cot x-\sec x \operatorname{cosec} x} d x is equal to-
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Correct option: A
12ln⁡∣sec⁡2x+tan⁡2x∣+C\frac{1}{2} \ln |\sec 2 x+\tan 2 x|+C
Option A (12ln⁡∣sec⁡2x+tan⁡2x∣+C\frac{1}{2} \ln |\sec 2 x+\tan 2 x|+C) is correct because it is the result of integrating the simplified expression.

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