imo class 12 indefinite integration

The anti-derivative of f(x) = 3x² with respect to x is:

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The anti-derivative of f(x) = 3x² with respect to x is:

  • A.
  • B. x³ + C
  • C. 6x + C
  • D. x³/3 + C

Answer: B) x³ + C

Explanation: d/dx(x³) = 3x², but integration includes an arbitrary constant. So ∫3x² dx = x³ + C.

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