d x x+ x+ x+ cosec x is equal to

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

\(\int \frac{d x}{\tan x+\cot x+\sec x+\operatorname{cosec} x}\) is equal to
  1. \(\frac{1}{2}\) (sin x – cos x + x) + c
  2. \(\frac{1}{2}\) (sin x – cos x – tan x + cot x) + c
  3. \(\frac{1}{2}\) (sin x – cos x – x) + c
  4. \(\frac{1}{2}\) (sin x + cos x – tan x – cot x + x) + c

Answer

(C) 1 2 (sin x – cos x – x) + c

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