imo class 12 application of integrals

Calculate the area bounded by y = |x| + 1, the x-axis, x = −1, and x = 1.

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Calculate the area bounded by y = |x| + 1, the x-axis, x = −1, and x = 1.

  • A. 3
  • B. 2
  • C. 4
  • D. 1

Answer: A) 3

Explanation: Area = 2 × ∫(0 to 1) (x + 1) dx = 2 [x²/2 + x] from 0 to 1 = 2(1/2 + 1) = 3 sq units.

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