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JEE Math Practice Question

If the $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - 2\cos x} \right| + k,} $$ then $$a$$ is equal to :

  1. A.$$-1$$
  2. B.$$-2$$
  3. C.$$1$$
  4. D.$$2$$

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