The area bounded by the curve y = x² + 2, the lines x = 1 and x = 2, and the x-axis is: A. 13/3 sq units B. 7/3 sq units C. 5 sq units D. 6 sq units Answer: A) 13/3 sq units Explanation: Area = ∫[1 to 2] (x² + 2) dx = [x³/3 + 2x]₁² = (8/3 + 4) − (1/3 + 2) = 7/3 + 2 = 13/3 sq units.

imo class 12 application of integrals

The area bounded by the curve y = x² + 2, the lines x = 1 and x = 2, and the x-axis is:

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The area bounded by the curve y = x² + 2, the lines x = 1 and x = 2, and the x-axis is:

Answer: A) 13/3 sq units

Explanation: Area = ∫[1 to 2] (x² + 2) dx = [x³/3 + 2x]₁² = (8/3 + 4) − (1/3 + 2) = 7/3 + 2 = 13/3 sq units.