Find the area bounded by the hyperbola y = 1/x, the x-axis, and the lines x = 1 and x = e. A. 1 B. e C. e − 1 D. 1/e Answer: A) 1 Explanation: Area = ∫(1 to e) (1/x) dx = [ln|x|] from 1 to e = ln(e) − ln(1) = 1 − 0 = 1 sq unit.

imo class 12 application of integrals

Find the area bounded by the hyperbola y = 1/x, the x-axis, and the lines x = 1 and x = e.

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Find the area bounded by the hyperbola y = 1/x, the x-axis, and the lines x = 1 and x = e.

Answer: A) 1

Explanation: Area = ∫(1 to e) (1/x) dx = [ln|x|] from 1 to e = ln(e) − ln(1) = 1 − 0 = 1 sq unit.