imo class 12 definite integration

Find the value of ∫[-1 to 1] x² dx.

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Find the value of ∫[-1 to 1] x² dx.

  • A. 0
  • B. 2/3
  • C. 1/3
  • D. 1

Answer: B) 2/3

Explanation: Since x² is an even function, ∫[-1 to 1] x² dx = 2 ∫[0 to 1] x² dx = 2[x³/3] from 0 to 1 = 2/3.

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