imo class 12 application of integrals

What is the area of the region bounded by y = √x, the x-axis, and the lines x = 4 and x = 9?

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What is the area of the region bounded by y = √x, the x-axis, and the lines x = 4 and x = 9?

  • A. 38/3
  • B. 19/3
  • C. 25/3
  • D. 14/3

Answer: A) 38/3

Explanation: Area = ∫(4 to 9) x^(1/2) dx = [(2/3)x^(3/2)] from 4 to 9 = (2/3)(27 − 8) = 38/3 sq units.

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