imo class 12 application of integrals

Calculate the area under the curve y = 3x² from x = 1 to x = 2.

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Calculate the area under the curve y = 3x² from x = 1 to x = 2.

  • A. 7
  • B. 8
  • C. 9
  • D. 6

Answer: A) 7

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

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