imo class 12 application of integrals

Yudgam students are designing a mathematical kite. One section is completely bounded by the curve y = 2√x, the x-axis, and the line x = 4. What is the area of this section?

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Yudgam students are designing a mathematical kite. One section is completely bounded by the curve y = 2√x, the x-axis, and the line x = 4. What is the area of this section?

  • A. 32/3
  • B. 16/3
  • C. 64/3
  • D. 8/3

Answer: A) 32/3

Explanation: Area = ∫(0 to 4) 2x^(1/2) dx = 2 × [2/3 x^(3/2)] from 0 to 4 = 4/3 × 8 = 32/3 sq units.

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