imo class 12 application of integrals

What is the area bounded by the parabola y² = 4x and the line x = 1?

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What is the area bounded by the parabola y² = 4x and the line x = 1?

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

Answer: A) 8/3

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

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