Question:medium

\(\int \sqrt{1 + \csc x} dx\) is equal to

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Use half-angle formulas to simplify the integrand.
Updated On: Apr 23, 2026
  • \(\pm \sin^{-1}(\tan x - \sec x) + c\)
  • \(2\sin^{-1}(\cos x) + c\)
  • \(\sin^{-1}\left(\cos \frac{x}{2} - \sin \frac{x}{2}\right) + c\)
  • \(\pm 2\sin^{-1}\left(\sin \frac{x}{2} - \cos \frac{x}{2}\right) + c\)
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The Correct Option is D

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