imo class 12 application of integrals

What is the area of the region bounded by y = |x|, the x-axis, and the lines x = −2 and x = 2?

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What is the area of the region bounded by y = |x|, the x-axis, and the lines x = −2 and x = 2?

  • A. 4
  • B. 2
  • C. 8
  • D. 0

Answer: A) 4

Explanation: Graph forms two triangles. Area = 2 × (1/2 × base × height) = 2 × (1/2 × 2 × 2) = 4 sq units.

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