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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫{sin⁡(log⁡x)+cos⁡(log⁡x)}dx=\int\{\sin (\log x)+\cos (\log x)\} d x=
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Correct option: A
xsin⁡(log⁡x)+cx \sin (\log x)+c
Option A is correct because the integral of sin⁡(log⁡x)+cos⁡(log⁡x)\sin(\log x) + \cos(\log x) simplifies to xsin⁡(log⁡x)+cx \sin(\log x) + c after substitution and integration.

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