Evaluate : x d x (2 x+A)+ A

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

Evaluate : \(\int \frac{\sec x d x}{\sqrt{\sin (2 x+A)+\sin A}}\)
  1. \(2 \cos A \sqrt{2 \cos A+\sin A \tan x}+c\)
  2. \(\sqrt{2} \sec \mathrm{~A} \sqrt{2 \cos \mathrm{~A} \tan \mathrm{X}+2 \sin \mathrm{~A}}+\mathrm{c}\)
  3. \(\sqrt{2} \sec \mathrm{~A} \sqrt{\cos \mathrm{~A} \tan \mathrm{X}+\sin \mathrm{A}}+\mathrm{c}\)
  4. None of these

Answer

(C) 2 ~A ~A X + A + c

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