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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫ecos⁡(eln⁡x)dxx\int \frac{e \cos (e \ln x) d x}{x} is equal to
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Correct option: B
sin⁡(eln⁡x)+c\sin (e \ln x)+c
Option B (sin⁡(eln⁡x)+c\sin (e \ln x)+c) is correct because the integral is solved using substitution, where eln⁡x=te \ln x = t.

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