imo class 12 definite integration

The area bounded by y = x² + 2, x = 0, x = 2 and the x-axis is:

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The area bounded by y = x² + 2, x = 0, x = 2 and the x-axis is:

  • A. 20/3 sq units
  • B. 16/3 sq units
  • C. 8 sq units
  • D. 12 sq units

Answer: A) 20/3 sq units

Explanation: Area = ∫₀² (x² + 2) dx = [x³/3 + 2x]₀² = (8/3 + 4) − 0 = 20/3.

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