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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫1sin⁡(x−π3)cos⁡xdx\int \frac{1}{\sin \left(x-\frac{\pi}{3}\right) \cos x} d x, is
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Correct option: D
None of these
Option D (None of these) is correct because the integral evaluates to 2log⁡∣sin⁡(x−π3)sec⁡x∣+C2 \log |\sin (x-\frac{\pi}{3}) \sec x|+C, which is not among the given options.

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