imo class 12 indefinite integration

∫cos²x dx is equal to:

VAVidaara Admin Asked 6d ago 0 views 0 answers

∫cos²x dx is equal to:

  • A. x/2 + (sin 2x)/4 + C
  • B. x/2 − (sin 2x)/4 + C
  • C. sin²x + C
  • D. x + sin 2x + C

Answer: A) x/2 + (sin 2x)/4 + C

Explanation: cos²x = (1 + cos 2x)/2. Integral = ∫(1/2)dx + (1/2)∫cos 2x dx = x/2 + (sin 2x)/4 + C.

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