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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫{sin⁡(log⁡ex)+cos⁡(log⁡ex)}dx\int\left\{\sin \left(\log _e x\right)+\cos \left(\log _e x\right)\right\} d x is equal to
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Correct option: B
xsin⁡(log⁡ex)+Cx \sin \left(\log _e x\right)+C
Option B (xsin⁡(log⁡ex)+Cx \sin (\log _e x)+C) is correct because the integral of the given expression simplifies to this form using substitution and a standard integral formula.

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