Calculate the area of the region bounded by the parabola x² = 4y and the line y = 3. A. 8√3 B. 4√3 C. 12√3 D. 16√3 Answer: A) 8√3 Explanation: Area = 2 × ∫(0 to 3) 2√y dy = 4 × [2/3 y^(3/2)] from 0 to 3 = 8/3 × 3√3 = 8√3 sq units.

imo class 12 application of integrals

Calculate the area of the region bounded by the parabola x² = 4y and the line y = 3.

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Calculate the area of the region bounded by the parabola x² = 4y and the line y = 3.

Answer: A) 8√3

Explanation: Area = 2 × ∫(0 to 3) 2√y dy = 4 × [2/3 y^(3/2)] from 0 to 3 = 8/3 × 3√3 = 8√3 sq units.