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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫(x−3)[sin⁡−1(ln⁡x)+cos⁡−1(ln⁡x)]dx\int \sqrt{(x-3)}\left[\sin ^{-1}(\ln x)+\cos ^{-1}(\ln x)\right] d x equals
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Correct option: C
does not exist
Option C is correct because the domains of the two functions inside the integral do not overlap, so the integral does not exist.

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