imo class 12 indefinite integration

∫cot x dx equals:

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∫cot x dx equals:

  • A. ln|sin x| + C
  • B. ln|cos x| + C
  • C. −ln|sin x| + C
  • D. ln|sec x| + C

Answer: A) ln|sin x| + C

Explanation: cot x = cos x/sin x. Substitute u = sin x, du = cos x dx. ∫du/u = ln|u| + C = ln|sin x| + C.

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