imo class 12 definite integration

Evaluate ∫₋₂² |x| dx.

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Evaluate ∫₋₂² |x| dx.

  • A. 8
  • B. 4
  • C. 16
  • D. 0

Answer: B) 4

Explanation: |x| is even, so ∫₋₂² |x| dx = 2 ∫₀² x dx = 2 · [x²/2]₀² = 2 · 2 = 4.

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