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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫dxtan⁡x+cot⁡x+sec⁡x+cosec⁡x\int \frac{d x}{\tan x+\cot x+\sec x+\operatorname{cosec} x} is equal to
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Correct option: C
12(sin⁡x−cos⁡x−x)+c\frac{1}{2}(\sin x-\cos x-x)+c
Option C (12(sin⁡x−cos⁡x−x)+c\frac{1}{2}(\sin x-\cos x-x)+c) is correct because after simplifying the integrand and integrating, this is the resulting expression.

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