If the integral 5 x x-2 ~d x = x + a 1n |sin x – 2 cos x| + k, then a is equal to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

If the integral \(\int \frac{5 \tan x}{\tan x-2} \mathrm{~d} x\)= x + a 1n |sin x – 2 cos x| + k, then a is equal to
  1. –1
  2. –2
  3. 1
  4. 2

Answer

(D) 2

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