imo class 12 definite integration

If ∫[0 to a] 3x² dx = 8, find the value of a.

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If ∫[0 to a] 3x² dx = 8, find the value of a.

  • A. 4
  • B. 2
  • C. 8
  • D. 16

Answer: B) 2

Explanation: ∫[0 to a] 3x² dx = [x³] from 0 to a = a³. We are given a³ = 8, so a = 2.

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