imo class 12 application of integrals

The area enclosed between the curve y = √x, x = 0, y = 0 and y = 2 is:

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The area enclosed between the curve y = √x, x = 0, y = 0 and y = 2 is:

  • A. 8/3 sq units
  • B. 4 sq units
  • C. 2 sq units
  • D. 4/3 sq units

Answer: A) 8/3 sq units

Explanation: Curve: x = y². Area = ∫[0 to 2] y² dy = [y³/3]₀² = 8/3 sq units.

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