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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫dxx1−(log⁡x)2=\int \frac{d x}{x \sqrt{1-(\log x)^2}}=
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Correct option: C
sin⁡−1(log⁡x)+c\sin ^{-1}(\log x)+c
Option C (sin⁡−1(log⁡x)+c\sin ^{-1}(\log x)+c) is correct because the integral simplifies to this form after substitution.

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