Determine the area of the region bounded by y = x³, the x-axis, and the ordinates x = 1 and x = 3. A. 20 B. 21 C. 81/4 D. 80/3 Answer: A) 20 Explanation: Area = ∫(1 to 3) x³ dx = [x⁴/4] from 1 to 3 = 81/4 − 1/4 = 80/4 = 20 sq units.

imo class 12 application of integrals

Determine the area of the region bounded by y = x³, the x-axis, and the ordinates x = 1 and x = 3.

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Determine the area of the region bounded by y = x³, the x-axis, and the ordinates x = 1 and x = 3.

Answer: A) 20

Explanation: Area = ∫(1 to 3) x³ dx = [x⁴/4] from 1 to 3 = 81/4 − 1/4 = 80/4 = 20 sq units.