imo class 12 application of integrals

What is the area of the region bounded by the curve y = x², the x-axis, and the lines x = 1 and x = 2?

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What is the area of the region bounded by the curve y = x², the x-axis, and the lines x = 1 and x = 2?

  • A. 7/3
  • B. 8/3
  • C. 1/3
  • D. 5/3

Answer: A) 7/3

Explanation: Area = ∫(1 to 2) x² dx = [x³/3] evaluated from 1 to 2 = 8/3 − 1/3 = 7/3 sq units.

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