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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫dxsin⁡  x  cos⁡  x\int \frac{{dx}}{{\sin \,\,x\,\,\cos \,\,x}} is equal to
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Correct option: B
log⁡  ∣tan⁡  x∣+ c\log \,\,|\tan \,\,x| + \,c
Option B is correct because the integral of dxsin⁡ x cos⁡ x\frac{{dx}}{{\sin \,x\,\cos \,x}} simplifies to log⁡ ∣tan⁡ x∣+ c\log \,|\tan \,x| + \,c using trigonometric identities and integration rules.

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