imo class 12 indefinite integration

∫sin²x dx equals:

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∫sin²x dx equals:

  • A. x/2 − (sin 2x)/4 + C
  • B. x/2 + (sin 2x)/4 + C
  • C. cos²x + C
  • D. 2sin x cos x + C

Answer: A) x/2 − (sin 2x)/4 + C

Explanation: Using identity sin²x = (1 − cos 2x)/2. ∫(1 − cos 2x)/2 dx = x/2 − (sin 2x)/4 + C.

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