imo class 12 application of integrals

The area of the region {(x,y) : y ≤ √x, x ≤ 4, y ≥ 0} is:

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The area of the region {(x,y) : y ≤ √x, x ≤ 4, y ≥ 0} is:

  • A. 16/3 sq units
  • B. 8/3 sq units
  • C. 4 sq units
  • D. 2 sq units

Answer: A) 16/3 sq units

Explanation: Area = ∫[0 to 4] √x dx = 16/3 sq units.

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