Find the area of the region bounded by the logarithmic curve y = ln(x), the y-axis, and the horizontal lines y = 0 and y = 1. A. e − 1 B. e C. 1 D. e + 1 Answer: A) e − 1 Explanation: Rewriting as x = eʸ. Area = ∫(0 to 1) eʸ dy = [eʸ] from 0 to 1 = e − 1 sq units.

imo class 12 application of integrals

Find the area of the region bounded by the logarithmic curve y = ln(x), the y-axis, and the horizontal lines y = 0 and y = 1.

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Find the area of the region bounded by the logarithmic curve y = ln(x), the y-axis, and the horizontal lines y = 0 and y = 1.

Answer: A) e − 1

Explanation: Rewriting as x = eʸ. Area = ∫(0 to 1) eʸ dy = [eʸ] from 0 to 1 = e − 1 sq units.

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