imo class 12 application of integrals

Sachin paints a section of an art wall bounded by the curve y = cos(x) and the x-axis from x = 0 to x = π/2 meters. If 1 square meter costs ₹100 to paint, what is the total cost?

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Sachin paints a section of an art wall bounded by the curve y = cos(x) and the x-axis from x = 0 to x = π/2 meters. If 1 square meter costs ₹100 to paint, what is the total cost?

  • A. ₹100
  • B. ₹200
  • C. ₹50
  • D. ₹314

Answer: A) ₹100

Explanation: Area = ∫(0 to π/2) cos(x) dx = [sin(x)] from 0 to π/2 = 1 sq meter. Total cost = 1 × 100 = ₹100.

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