If I= ( 2 ) d then I equals

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

If \(I=\int \cos \theta \log \left(\tan \frac{\theta}{2}\right) \mathrm{d} \theta\)then I equals
  1. sin θ log (tan θ/2) + θ + c
  2. cos θ log (tan θ/2) + θ + c
  3. sin θ log (tan θ/2) – θ + c
  4. None of these

Answer

(C) sin θ log (tan θ /2) – θ + c

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