What is the area of the region bounded by y = 4/x, the x-axis, and the lines x = 1 and x = 4? A. 4 ln 4 B. ln 4 C. 4 D. 2 ln 2 Answer: A) 4 ln 4 Explanation: Area = ∫(1 to 4) (4/x) dx = 4[ln|x|] from 1 to 4 = 4(ln 4 − ln 1) = 4 ln 4 sq units.

imo class 12 application of integrals

What is the area of the region bounded by y = 4/x, the x-axis, and the lines x = 1 and x = 4?

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What is the area of the region bounded by y = 4/x, the x-axis, and the lines x = 1 and x = 4?

Answer: A) 4 ln 4

Explanation: Area = ∫(1 to 4) (4/x) dx = 4[ln|x|] from 1 to 4 = 4(ln 4 − ln 1) = 4 ln 4 sq units.