imo class 12 definite integration

The value of ∫₋₁² |x| dx is:

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The value of ∫₋₁² |x| dx is:

  • A. 1/2
  • B. 3/2
  • C. 5/2
  • D. 7/2

Answer: C) 5/2

Explanation: ∫₋₁² |x| dx = ∫₋₁⁰ (−x) dx + ∫₀² x dx = [−x²/2]₋₁⁰ + [x²/2]₀² = (0 − (−1/2)) + (2 − 0) = 1/2 + 2 = 5/2.

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