imo class 12 application of integrals

Find the area bounded by the curve y = |x − 1| and the x-axis from x = 0 to x = 2.

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Find the area bounded by the curve y = |x − 1| and the x-axis from x = 0 to x = 2.

  • A. 1
  • B. 2
  • C. 1/2
  • D. 3/2

Answer: A) 1

Explanation: Forms two identical triangles from 0 to 1 and 1 to 2. Area = 2 × (1/2 × 1 × 1) = 1 sq unit.

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