imo class 12 definite integration

Evaluate ∫[0 to 1] (x - x³) dx.

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Evaluate ∫[0 to 1] (x - x³) dx.

  • A. 1/4
  • B. 1/2
  • C. 3/4
  • D. 1/3

Answer: A) 1/4

Explanation: The anti-derivative is x²/2 - x⁴/4. Evaluated from 0 to 1 gives 1/2 - 1/4 = 1/4.

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