imo class 12 definite integration

The area enclosed by y = √x, x = 1, x = 4 and the x-axis is:

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The area enclosed by y = √x, x = 1, x = 4 and the x-axis is:

  • A. 14/3 sq units
  • B. 16/3 sq units
  • C. 6 sq units
  • D. 8 sq units

Answer: A) 14/3 sq units

Explanation: Area = ∫₁⁴ x^(1/2) dx = [ (2/3) x^(3/2) ]₁⁴ = (2/3)(8 − 1) = 14/3.

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