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

imo class 12 application of integrals

The area bounded by the curve y = sin x, the x-axis and the ordinates x = 0 and x = π/2 is:

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The area bounded by the curve y = sin x, the x-axis and the ordinates x = 0 and x = π/2 is:

Answer: A) 1 sq unit

Explanation: Required area = ∫[0 to π/2] sin x dx = [−cos x]₀^(π/2) = (−cos π/2) − (−cos 0) = 0 + 1 = 1 sq unit.