imo class 12 application of integrals

The area bounded by the curve y = cos x between x = 0 and x = 2π is:

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The area bounded by the curve y = cos x between x = 0 and x = 2π is:

  • A. 4 sq units
  • B. 2 sq units
  • C. 0 sq unit
  • D. 1 sq unit

Answer: A) 4 sq units

Explanation: Area = 4 × ∫[0 to π/2] cos x dx = 4 × [sin x]₀^(π/2) = 4 × (1 − 0) = 4 sq units.

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