The area bounded by the curve y = cos x between x = 0 and x = π is: A. 2 sq units B. 1 sq unit C. 0 sq unit D. 4 sq units Answer: A) 2 sq units Explanation: Area = ∫[0 to π/2] cos x dx + ∫[π/2 to π] (−cos x) dx = [sin x]₀^(π/2) + [−sin x]_(π/2)^π = (1−0) + (0−(−1)) = 2 sq units.

imo class 12 application of integrals

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

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

Answer: A) 2 sq units

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