Question:medium

The value of \[ \int \frac{dx}{x \sqrt{1 - (\log x)^2}} \] is:

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For integrals involving \( \sqrt{1 - u^2} \), recognize the standard result for the inverse sine function.
Updated On: Apr 22, 2026
  • \( \cos^{-1} (\log x + C) \)
  • \( x \log (1 - x^2) + C \)
  • \( \frac{1}{2} \cos^{-1} (\log x) + C \)
  • \( \sin^{-1} (\log x) + C \)
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The Correct Option is D

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