imo class 12 application of integrals

The area of the region bounded by the curve y = x², the x-axis and the line x = 2 is:

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The area of the region bounded by the curve y = x², the x-axis and the line x = 2 is:

  • A. 8/3 sq units
  • B. 4/3 sq units
  • C. 8 sq units
  • D. 4 sq units

Answer: A) 8/3 sq units

Explanation: Area = ∫[0 to 2] x² dx = [x³/3]₀² = 8/3 − 0 = 8/3 sq units.

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